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Finding the Fourth Proportional to 24,470.77, 33,772.03 and 13,717.47

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Solution

The fourth proportional to 24,470.77, 33,772.03 and 13,717.47 is: 18,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.77 : 33,772.03 = 13,717.47 : x
  2. Step 2: Convert to fraction form
    24,470.77/33,772.03 = 13,717.47/x
  3. Step 3: Cross multiply
    24,470.77x = 33,772.03 × 13,717.47
  4. Step 4: Simplify right side
    24,470.77x = 463,266,808.36
  5. Step 5: Solve for x
    x = 463,266,808.36/24,470.77
  6. Step 6: Final answer
    x = 18,931.44

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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.