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Finding the Fourth Proportional to 24,113.04, 36,171.80 and 7,473.20

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Solution

The fourth proportional to 24,113.04, 36,171.80 and 7,473.20 is: 11,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113.04 : 36,171.80 = 7,473.20 : x
  2. Step 2: Convert to fraction form
    24,113.04/36,171.80 = 7,473.20/x
  3. Step 3: Cross multiply
    24,113.04x = 36,171.80 × 7,473.20
  4. Step 4: Simplify right side
    24,113.04x = 270,319,095.76
  5. Step 5: Solve for x
    x = 270,319,095.76/24,113.04
  6. Step 6: Final answer
    x = 11,210.49

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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.