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Finding the Fourth Proportional to 24,738, 34,138.44 and 13,559.76

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Solution

The fourth proportional to 24,738, 34,138.44 and 13,559.76 is: 18,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738 : 34,138.44 = 13,559.76 : x
  2. Step 2: Convert to fraction form
    24,738/34,138.44 = 13,559.76/x
  3. Step 3: Cross multiply
    24,738x = 34,138.44 × 13,559.76
  4. Step 4: Simplify right side
    24,738x = 462,909,053.17
  5. Step 5: Solve for x
    x = 462,909,053.17/24,738
  6. Step 6: Final answer
    x = 18,712.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.