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Finding the Fourth Proportional to 23,464.71, 32,381.10 and 12,709.60

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Solution

The fourth proportional to 23,464.71, 32,381.10 and 12,709.60 is: 17,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.71 : 32,381.10 = 12,709.60 : x
  2. Step 2: Convert to fraction form
    23,464.71/32,381.10 = 12,709.60/x
  3. Step 3: Cross multiply
    23,464.71x = 32,381.10 × 12,709.60
  4. Step 4: Simplify right side
    23,464.71x = 411,550,747.61
  5. Step 5: Solve for x
    x = 411,550,747.61/23,464.71
  6. Step 6: Final answer
    x = 17,539.14

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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.