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Finding the Fourth Proportional to 17,325.72, 23,909.13 and 9,772.74

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Solution

The fourth proportional to 17,325.72, 23,909.13 and 9,772.74 is: 13,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,325.72 : 23,909.13 = 9,772.74 : x
  2. Step 2: Convert to fraction form
    17,325.72/23,909.13 = 9,772.74/x
  3. Step 3: Cross multiply
    17,325.72x = 23,909.13 × 9,772.74
  4. Step 4: Simplify right side
    17,325.72x = 233,657,711.12
  5. Step 5: Solve for x
    x = 233,657,711.12/17,325.72
  6. Step 6: Final answer
    x = 13,486.18

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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.