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Finding the Fourth Proportional to 12,542.58, 18,799.29 and 5,602.50

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Solution

The fourth proportional to 12,542.58, 18,799.29 and 5,602.50 is: 8,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.58 : 18,799.29 = 5,602.50 : x
  2. Step 2: Convert to fraction form
    12,542.58/18,799.29 = 5,602.50/x
  3. Step 3: Cross multiply
    12,542.58x = 18,799.29 × 5,602.50
  4. Step 4: Simplify right side
    12,542.58x = 105,323,022.23
  5. Step 5: Solve for x
    x = 105,323,022.23/12,542.58
  6. Step 6: Final answer
    x = 8,397.24

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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.