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Finding the Fourth Proportional to 24,712.76, 34,098.58 and 14,100.44

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Solution

The fourth proportional to 24,712.76, 34,098.58 and 14,100.44 is: 19,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.76 : 34,098.58 = 14,100.44 : x
  2. Step 2: Convert to fraction form
    24,712.76/34,098.58 = 14,100.44/x
  3. Step 3: Cross multiply
    24,712.76x = 34,098.58 × 14,100.44
  4. Step 4: Simplify right side
    24,712.76x = 480,804,981.38
  5. Step 5: Solve for x
    x = 480,804,981.38/24,712.76
  6. Step 6: Final answer
    x = 19,455.74

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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.