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Finding the Fourth Proportional to 15,652.31, 23,478.05 and 4,562.06

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Solution

The fourth proportional to 15,652.31, 23,478.05 and 4,562.06 is: 6,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652.31 : 23,478.05 = 4,562.06 : x
  2. Step 2: Convert to fraction form
    15,652.31/23,478.05 = 4,562.06/x
  3. Step 3: Cross multiply
    15,652.31x = 23,478.05 × 4,562.06
  4. Step 4: Simplify right side
    15,652.31x = 107,108,166.80
  5. Step 5: Solve for x
    x = 107,108,166.80/15,652.31
  6. Step 6: Final answer
    x = 6,842.96

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Why These Related Problems?

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