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Finding the Fourth Proportional to 28,431.28, 42,656.76 and 9,724.50

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Solution

The fourth proportional to 28,431.28, 42,656.76 and 9,724.50 is: 14,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431.28 : 42,656.76 = 9,724.50 : x
  2. Step 2: Convert to fraction form
    28,431.28/42,656.76 = 9,724.50/x
  3. Step 3: Cross multiply
    28,431.28x = 42,656.76 × 9,724.50
  4. Step 4: Simplify right side
    28,431.28x = 414,815,662.62
  5. Step 5: Solve for x
    x = 414,815,662.62/28,431.28
  6. Step 6: Final answer
    x = 14,590.12

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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.