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Finding the Fourth Proportional to 23,474.71, 32,395.11 and 12,864.35

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Solution

The fourth proportional to 23,474.71, 32,395.11 and 12,864.35 is: 17,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.71 : 32,395.11 = 12,864.35 : x
  2. Step 2: Convert to fraction form
    23,474.71/32,395.11 = 12,864.35/x
  3. Step 3: Cross multiply
    23,474.71x = 32,395.11 × 12,864.35
  4. Step 4: Simplify right side
    23,474.71x = 416,742,066.07
  5. Step 5: Solve for x
    x = 416,742,066.07/23,474.71
  6. Step 6: Final answer
    x = 17,752.81

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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.