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Finding the Fourth Proportional to 21,140.40, 31,712.70 and 7,816.89

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Solution

The fourth proportional to 21,140.40, 31,712.70 and 7,816.89 is: 11,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140.40 : 31,712.70 = 7,816.89 : x
  2. Step 2: Convert to fraction form
    21,140.40/31,712.70 = 7,816.89/x
  3. Step 3: Cross multiply
    21,140.40x = 31,712.70 × 7,816.89
  4. Step 4: Simplify right side
    21,140.40x = 247,894,687.50
  5. Step 5: Solve for x
    x = 247,894,687.50/21,140.40
  6. Step 6: Final answer
    x = 11,726.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.