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Finding the Fourth Proportional to 17,356.50, 23,951.16 and 9,801.90

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Solution

The fourth proportional to 17,356.50, 23,951.16 and 9,801.90 is: 13,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,356.50 : 23,951.16 = 9,801.90 : x
  2. Step 2: Convert to fraction form
    17,356.50/23,951.16 = 9,801.90/x
  3. Step 3: Cross multiply
    17,356.50x = 23,951.16 × 9,801.90
  4. Step 4: Simplify right side
    17,356.50x = 234,766,875.20
  5. Step 5: Solve for x
    x = 234,766,875.20/17,356.50
  6. Step 6: Final answer
    x = 13,526.16

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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.