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Finding the Fourth Proportional to 24,274.74, 33,497.10 and 14,841.48

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Solution

The fourth proportional to 24,274.74, 33,497.10 and 14,841.48 is: 20,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.74 : 33,497.10 = 14,841.48 : x
  2. Step 2: Convert to fraction form
    24,274.74/33,497.10 = 14,841.48/x
  3. Step 3: Cross multiply
    24,274.74x = 33,497.10 × 14,841.48
  4. Step 4: Simplify right side
    24,274.74x = 497,146,539.71
  5. Step 5: Solve for x
    x = 497,146,539.71/24,274.74
  6. Step 6: Final answer
    x = 20,479.99

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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.