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Finding the Fourth Proportional to 19,641.76, 29,462.64 and 5,800.48

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Solution

The fourth proportional to 19,641.76, 29,462.64 and 5,800.48 is: 8,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.76 : 29,462.64 = 5,800.48 : x
  2. Step 2: Convert to fraction form
    19,641.76/29,462.64 = 5,800.48/x
  3. Step 3: Cross multiply
    19,641.76x = 29,462.64 × 5,800.48
  4. Step 4: Simplify right side
    19,641.76x = 170,897,454.07
  5. Step 5: Solve for x
    x = 170,897,454.07/19,641.76
  6. Step 6: Final answer
    x = 8,700.72

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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.