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Finding the Fourth Proportional to 15,235.98, 22,854.42 and 4,142.61

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Solution

The fourth proportional to 15,235.98, 22,854.42 and 4,142.61 is: 6,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235.98 : 22,854.42 = 4,142.61 : x
  2. Step 2: Convert to fraction form
    15,235.98/22,854.42 = 4,142.61/x
  3. Step 3: Cross multiply
    15,235.98x = 22,854.42 × 4,142.61
  4. Step 4: Simplify right side
    15,235.98x = 94,676,948.84
  5. Step 5: Solve for x
    x = 94,676,948.84/15,235.98
  6. Step 6: Final answer
    x = 6,214.04

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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.