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Finding the Fourth Proportional to 23,468.76, 32,376.06 and 13,527

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Solution

The fourth proportional to 23,468.76, 32,376.06 and 13,527 is: 18,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.76 : 32,376.06 = 13,527 : x
  2. Step 2: Convert to fraction form
    23,468.76/32,376.06 = 13,527/x
  3. Step 3: Cross multiply
    23,468.76x = 32,376.06 × 13,527
  4. Step 4: Simplify right side
    23,468.76x = 437,950,963.62
  5. Step 5: Solve for x
    x = 437,950,963.62/23,468.76
  6. Step 6: Final answer
    x = 18,661.02

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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.