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Finding the Fourth Proportional to 15,642.18, 23,462.87 and 4,551.93

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Solution

The fourth proportional to 15,642.18, 23,462.87 and 4,551.93 is: 6,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.18 : 23,462.87 = 4,551.93 : x
  2. Step 2: Convert to fraction form
    15,642.18/23,462.87 = 4,551.93/x
  3. Step 3: Cross multiply
    15,642.18x = 23,462.87 × 4,551.93
  4. Step 4: Simplify right side
    15,642.18x = 106,801,319.08
  5. Step 5: Solve for x
    x = 106,801,319.08/15,642.18
  6. Step 6: Final answer
    x = 6,827.78

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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.