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Finding the Fourth Proportional to 17,135.80, 23,647.02 and 9,683.64

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Solution

The fourth proportional to 17,135.80, 23,647.02 and 9,683.64 is: 13,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,135.80 : 23,647.02 = 9,683.64 : x
  2. Step 2: Convert to fraction form
    17,135.80/23,647.02 = 9,683.64/x
  3. Step 3: Cross multiply
    17,135.80x = 23,647.02 × 9,683.64
  4. Step 4: Simplify right side
    17,135.80x = 228,989,228.75
  5. Step 5: Solve for x
    x = 228,989,228.75/17,135.80
  6. Step 6: Final answer
    x = 13,363.21

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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.