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Finding the Fourth Proportional to 24,140, 36,210.03 and 10,092.34

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Solution

The fourth proportional to 24,140, 36,210.03 and 10,092.34 is: 15,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140 : 36,210.03 = 10,092.34 : x
  2. Step 2: Convert to fraction form
    24,140/36,210.03 = 10,092.34/x
  3. Step 3: Cross multiply
    24,140x = 36,210.03 × 10,092.34
  4. Step 4: Simplify right side
    24,140x = 365,443,934.17
  5. Step 5: Solve for x
    x = 365,443,934.17/24,140
  6. Step 6: Final answer
    x = 15,138.52

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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.