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Finding the Fourth Proportional to 28,456.32, 42,688.80 and 9,984

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Solution

The fourth proportional to 28,456.32, 42,688.80 and 9,984 is: 14,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,456.32 : 42,688.80 = 9,984 : x
  2. Step 2: Convert to fraction form
    28,456.32/42,688.80 = 9,984/x
  3. Step 3: Cross multiply
    28,456.32x = 42,688.80 × 9,984
  4. Step 4: Simplify right side
    28,456.32x = 426,204,979.20
  5. Step 5: Solve for x
    x = 426,204,979.20/28,456.32
  6. Step 6: Final answer
    x = 14,977.52

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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.