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Finding the Fourth Proportional to 24,324.30, 36,498.60 and 13,802.40

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Solution

The fourth proportional to 24,324.30, 36,498.60 and 13,802.40 is: 20,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324.30 : 36,498.60 = 13,802.40 : x
  2. Step 2: Convert to fraction form
    24,324.30/36,498.60 = 13,802.40/x
  3. Step 3: Cross multiply
    24,324.30x = 36,498.60 × 13,802.40
  4. Step 4: Simplify right side
    24,324.30x = 503,768,276.64
  5. Step 5: Solve for x
    x = 503,768,276.64/24,324.30
  6. Step 6: Final answer
    x = 20,710.49

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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.