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Finding the Fourth Proportional to 28,291.68, 42,436.31 and 8,569.40

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Solution

The fourth proportional to 28,291.68, 42,436.31 and 8,569.40 is: 12,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,291.68 : 42,436.31 = 8,569.40 : x
  2. Step 2: Convert to fraction form
    28,291.68/42,436.31 = 8,569.40/x
  3. Step 3: Cross multiply
    28,291.68x = 42,436.31 × 8,569.40
  4. Step 4: Simplify right side
    28,291.68x = 363,653,459.89
  5. Step 5: Solve for x
    x = 363,653,459.89/28,291.68
  6. Step 6: Final answer
    x = 12,853.72

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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.