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Finding the Fourth Proportional to 24,802.71, 34,218.09 and 14,045.12

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Solution

The fourth proportional to 24,802.71, 34,218.09 and 14,045.12 is: 19,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.71 : 34,218.09 = 14,045.12 : x
  2. Step 2: Convert to fraction form
    24,802.71/34,218.09 = 14,045.12/x
  3. Step 3: Cross multiply
    24,802.71x = 34,218.09 × 14,045.12
  4. Step 4: Simplify right side
    24,802.71x = 480,597,009.13
  5. Step 5: Solve for x
    x = 480,597,009.13/24,802.71
  6. Step 6: Final answer
    x = 19,376.79

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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.