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Finding the Fourth Proportional to 15,124.33, 22,691.10 and 7,733.98

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Solution

The fourth proportional to 15,124.33, 22,691.10 and 7,733.98 is: 11,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124.33 : 22,691.10 = 7,733.98 : x
  2. Step 2: Convert to fraction form
    15,124.33/22,691.10 = 7,733.98/x
  3. Step 3: Cross multiply
    15,124.33x = 22,691.10 × 7,733.98
  4. Step 4: Simplify right side
    15,124.33x = 175,492,513.58
  5. Step 5: Solve for x
    x = 175,492,513.58/15,124.33
  6. Step 6: Final answer
    x = 11,603.32

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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.