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Finding the Fourth Proportional to 15,051.40, 22,564.78 and 5,686.10

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Solution

The fourth proportional to 15,051.40, 22,564.78 and 5,686.10 is: 8,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,051.40 : 22,564.78 = 5,686.10 : x
  2. Step 2: Convert to fraction form
    15,051.40/22,564.78 = 5,686.10/x
  3. Step 3: Cross multiply
    15,051.40x = 22,564.78 × 5,686.10
  4. Step 4: Simplify right side
    15,051.40x = 128,305,553.14
  5. Step 5: Solve for x
    x = 128,305,553.14/15,051.40
  6. Step 6: Final answer
    x = 8,524.49

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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.