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Finding the Fourth Proportional to 28,033.66, 38,686.74 and 15,458.86

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Solution

The fourth proportional to 28,033.66, 38,686.74 and 15,458.86 is: 21,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,033.66 : 38,686.74 = 15,458.86 : x
  2. Step 2: Convert to fraction form
    28,033.66/38,686.74 = 15,458.86/x
  3. Step 3: Cross multiply
    28,033.66x = 38,686.74 × 15,458.86
  4. Step 4: Simplify right side
    28,033.66x = 598,052,897.52
  5. Step 5: Solve for x
    x = 598,052,897.52/28,033.66
  6. Step 6: Final answer
    x = 21,333.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.