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Finding the Fourth Proportional to 15,040, 22,545.06 and 10,098.28

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Solution

The fourth proportional to 15,040, 22,545.06 and 10,098.28 is: 15,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,040 : 22,545.06 = 10,098.28 : x
  2. Step 2: Convert to fraction form
    15,040/22,545.06 = 10,098.28/x
  3. Step 3: Cross multiply
    15,040x = 22,545.06 × 10,098.28
  4. Step 4: Simplify right side
    15,040x = 227,666,328.50
  5. Step 5: Solve for x
    x = 227,666,328.50/15,040
  6. Step 6: Final answer
    x = 15,137.39

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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.