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Finding the Fourth Proportional to 23,521.52, 32,448.14 and 17,138.20

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Solution

The fourth proportional to 23,521.52, 32,448.14 and 17,138.20 is: 23,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,521.52 : 32,448.14 = 17,138.20 : x
  2. Step 2: Convert to fraction form
    23,521.52/32,448.14 = 17,138.20/x
  3. Step 3: Cross multiply
    23,521.52x = 32,448.14 × 17,138.20
  4. Step 4: Simplify right side
    23,521.52x = 556,102,712.95
  5. Step 5: Solve for x
    x = 556,102,712.95/23,521.52
  6. Step 6: Final answer
    x = 23,642.29

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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.