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Finding the Fourth Proportional to 14,031.92, 21,047.82 and 5,709.96

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Solution

The fourth proportional to 14,031.92, 21,047.82 and 5,709.96 is: 8,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.92 : 21,047.82 = 5,709.96 : x
  2. Step 2: Convert to fraction form
    14,031.92/21,047.82 = 5,709.96/x
  3. Step 3: Cross multiply
    14,031.92x = 21,047.82 × 5,709.96
  4. Step 4: Simplify right side
    14,031.92x = 120,182,210.29
  5. Step 5: Solve for x
    x = 120,182,210.29/14,031.92
  6. Step 6: Final answer
    x = 8,564.92

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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.