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Finding the Fourth Proportional to 24,712.48, 34,103.44 and 14,102

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Solution

The fourth proportional to 24,712.48, 34,103.44 and 14,102 is: 19,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.48 : 34,103.44 = 14,102 : x
  2. Step 2: Convert to fraction form
    24,712.48/34,103.44 = 14,102/x
  3. Step 3: Cross multiply
    24,712.48x = 34,103.44 × 14,102
  4. Step 4: Simplify right side
    24,712.48x = 480,926,710.88
  5. Step 5: Solve for x
    x = 480,926,710.88/24,712.48
  6. Step 6: Final answer
    x = 19,460.88

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