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Finding the Fourth Proportional to 28,473.31, 42,710.02 and 9,753.50

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Solution

The fourth proportional to 28,473.31, 42,710.02 and 9,753.50 is: 14,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,473.31 : 42,710.02 = 9,753.50 : x
  2. Step 2: Convert to fraction form
    28,473.31/42,710.02 = 9,753.50/x
  3. Step 3: Cross multiply
    28,473.31x = 42,710.02 × 9,753.50
  4. Step 4: Simplify right side
    28,473.31x = 416,572,243.55
  5. Step 5: Solve for x
    x = 416,572,243.55/28,473.31
  6. Step 6: Final answer
    x = 14,630.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.