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Finding the Fourth Proportional to 17,683.95, 24,396.92 and 10,126.22

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Solution

The fourth proportional to 17,683.95, 24,396.92 and 10,126.22 is: 13,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.95 : 24,396.92 = 10,126.22 : x
  2. Step 2: Convert to fraction form
    17,683.95/24,396.92 = 10,126.22/x
  3. Step 3: Cross multiply
    17,683.95x = 24,396.92 × 10,126.22
  4. Step 4: Simplify right side
    17,683.95x = 247,048,406.63
  5. Step 5: Solve for x
    x = 247,048,406.63/17,683.95
  6. Step 6: Final answer
    x = 13,970.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.