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Finding the Fourth Proportional to 20,564.66, 30,859.74 and 9,472.92

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Solution

The fourth proportional to 20,564.66, 30,859.74 and 9,472.92 is: 14,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.66 : 30,859.74 = 9,472.92 : x
  2. Step 2: Convert to fraction form
    20,564.66/30,859.74 = 9,472.92/x
  3. Step 3: Cross multiply
    20,564.66x = 30,859.74 × 9,472.92
  4. Step 4: Simplify right side
    20,564.66x = 292,331,848.24
  5. Step 5: Solve for x
    x = 292,331,848.24/20,564.66
  6. Step 6: Final answer
    x = 14,215.25

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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.