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Finding the Fourth Proportional to 12,641.56, 18,978.75 and 9,721.92

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Solution

The fourth proportional to 12,641.56, 18,978.75 and 9,721.92 is: 14,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.56 : 18,978.75 = 9,721.92 : x
  2. Step 2: Convert to fraction form
    12,641.56/18,978.75 = 9,721.92/x
  3. Step 3: Cross multiply
    12,641.56x = 18,978.75 × 9,721.92
  4. Step 4: Simplify right side
    12,641.56x = 184,509,889.20
  5. Step 5: Solve for x
    x = 184,509,889.20/12,641.56
  6. Step 6: Final answer
    x = 14,595.50

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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.