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Finding the Fourth Proportional to 17,440, 24,061.88 and 9,885.12

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Solution

The fourth proportional to 17,440, 24,061.88 and 9,885.12 is: 13,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,440 : 24,061.88 = 9,885.12 : x
  2. Step 2: Convert to fraction form
    17,440/24,061.88 = 9,885.12/x
  3. Step 3: Cross multiply
    17,440x = 24,061.88 × 9,885.12
  4. Step 4: Simplify right side
    17,440x = 237,854,571.23
  5. Step 5: Solve for x
    x = 237,854,571.23/17,440
  6. Step 6: Final answer
    x = 13,638.45

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