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Finding the Fourth Proportional to 21,141, 31,711.76 and 10,048.76

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Solution

The fourth proportional to 21,141, 31,711.76 and 10,048.76 is: 15,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141 : 31,711.76 = 10,048.76 : x
  2. Step 2: Convert to fraction form
    21,141/31,711.76 = 10,048.76/x
  3. Step 3: Cross multiply
    21,141x = 31,711.76 × 10,048.76
  4. Step 4: Simplify right side
    21,141x = 318,663,865.42
  5. Step 5: Solve for x
    x = 318,663,865.42/21,141
  6. Step 6: Final answer
    x = 15,073.26

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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.