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Finding the Fourth Proportional to 24,712.09, 34,101 and 14,101.49

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Solution

The fourth proportional to 24,712.09, 34,101 and 14,101.49 is: 19,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.09 : 34,101 = 14,101.49 : x
  2. Step 2: Convert to fraction form
    24,712.09/34,101 = 14,101.49/x
  3. Step 3: Cross multiply
    24,712.09x = 34,101 × 14,101.49
  4. Step 4: Simplify right side
    24,712.09x = 480,874,995.74
  5. Step 5: Solve for x
    x = 480,874,995.74/24,712.09
  6. Step 6: Final answer
    x = 19,459.10

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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.