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Finding the Fourth Proportional to 17,696.85, 24,416.16 and 10,038.87

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Solution

The fourth proportional to 17,696.85, 24,416.16 and 10,038.87 is: 13,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.85 : 24,416.16 = 10,038.87 : x
  2. Step 2: Convert to fraction form
    17,696.85/24,416.16 = 10,038.87/x
  3. Step 3: Cross multiply
    17,696.85x = 24,416.16 × 10,038.87
  4. Step 4: Simplify right side
    17,696.85x = 245,110,534.06
  5. Step 5: Solve for x
    x = 245,110,534.06/17,696.85
  6. Step 6: Final answer
    x = 13,850.52

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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.