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Finding the Fourth Proportional to 28,304.74, 42,454.50 and 9,582.64

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Solution

The fourth proportional to 28,304.74, 42,454.50 and 9,582.64 is: 14,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,304.74 : 42,454.50 = 9,582.64 : x
  2. Step 2: Convert to fraction form
    28,304.74/42,454.50 = 9,582.64/x
  3. Step 3: Cross multiply
    28,304.74x = 42,454.50 × 9,582.64
  4. Step 4: Simplify right side
    28,304.74x = 406,825,977.61
  5. Step 5: Solve for x
    x = 406,825,977.61/28,304.74
  6. Step 6: Final answer
    x = 14,373.07

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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.