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Finding the Fourth Proportional to 23,633.76, 32,614.68 and 13,023.16

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Solution

The fourth proportional to 23,633.76, 32,614.68 and 13,023.16 is: 17,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.76 : 32,614.68 = 13,023.16 : x
  2. Step 2: Convert to fraction form
    23,633.76/32,614.68 = 13,023.16/x
  3. Step 3: Cross multiply
    23,633.76x = 32,614.68 × 13,023.16
  4. Step 4: Simplify right side
    23,633.76x = 424,746,195.99
  5. Step 5: Solve for x
    x = 424,746,195.99/23,633.76
  6. Step 6: Final answer
    x = 17,972.01

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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.