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Finding the Fourth Proportional to 14,663.76, 21,997.80 and 5,304.48

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Solution

The fourth proportional to 14,663.76, 21,997.80 and 5,304.48 is: 7,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.76 : 21,997.80 = 5,304.48 : x
  2. Step 2: Convert to fraction form
    14,663.76/21,997.80 = 5,304.48/x
  3. Step 3: Cross multiply
    14,663.76x = 21,997.80 × 5,304.48
  4. Step 4: Simplify right side
    14,663.76x = 116,686,890.14
  5. Step 5: Solve for x
    x = 116,686,890.14/14,663.76
  6. Step 6: Final answer
    x = 7,957.50

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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.