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Finding the Fourth Proportional to 20,562.66, 30,856.75 and 9,470.93

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Solution

The fourth proportional to 20,562.66, 30,856.75 and 9,470.93 is: 14,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562.66 : 30,856.75 = 9,470.93 : x
  2. Step 2: Convert to fraction form
    20,562.66/30,856.75 = 9,470.93/x
  3. Step 3: Cross multiply
    20,562.66x = 30,856.75 × 9,470.93
  4. Step 4: Simplify right side
    20,562.66x = 292,241,941.32
  5. Step 5: Solve for x
    x = 292,241,941.32/20,562.66
  6. Step 6: Final answer
    x = 14,212.26

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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.