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Finding the Fourth Proportional to 21,023.28, 29,012 and 12,071.76

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Solution

The fourth proportional to 21,023.28, 29,012 and 12,071.76 is: 16,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023.28 : 29,012 = 12,071.76 : x
  2. Step 2: Convert to fraction form
    21,023.28/29,012 = 12,071.76/x
  3. Step 3: Cross multiply
    21,023.28x = 29,012 × 12,071.76
  4. Step 4: Simplify right side
    21,023.28x = 350,225,901.12
  5. Step 5: Solve for x
    x = 350,225,901.12/21,023.28
  6. Step 6: Final answer
    x = 16,658.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.