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Finding the Fourth Proportional to 15,089.64, 22,636.49 and 5,733.15

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Solution

The fourth proportional to 15,089.64, 22,636.49 and 5,733.15 is: 8,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,089.64 : 22,636.49 = 5,733.15 : x
  2. Step 2: Convert to fraction form
    15,089.64/22,636.49 = 5,733.15/x
  3. Step 3: Cross multiply
    15,089.64x = 22,636.49 × 5,733.15
  4. Step 4: Simplify right side
    15,089.64x = 129,778,363.98
  5. Step 5: Solve for x
    x = 129,778,363.98/15,089.64
  6. Step 6: Final answer
    x = 8,600.49

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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.