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Finding the Fourth Proportional to 23,133.50, 34,714.59 and 10,655.29

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Solution

The fourth proportional to 23,133.50, 34,714.59 and 10,655.29 is: 15,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.50 : 34,714.59 = 10,655.29 : x
  2. Step 2: Convert to fraction form
    23,133.50/34,714.59 = 10,655.29/x
  3. Step 3: Cross multiply
    23,133.50x = 34,714.59 × 10,655.29
  4. Step 4: Simplify right side
    23,133.50x = 369,894,023.68
  5. Step 5: Solve for x
    x = 369,894,023.68/23,133.50
  6. Step 6: Final answer
    x = 15,989.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.