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Finding the Fourth Proportional to 24,470.61, 33,784.61 and 21,948.27

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Solution

The fourth proportional to 24,470.61, 33,784.61 and 21,948.27 is: 30,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.61 : 33,784.61 = 21,948.27 : x
  2. Step 2: Convert to fraction form
    24,470.61/33,784.61 = 21,948.27/x
  3. Step 3: Cross multiply
    24,470.61x = 33,784.61 × 21,948.27
  4. Step 4: Simplify right side
    24,470.61x = 741,513,632.38
  5. Step 5: Solve for x
    x = 741,513,632.38/24,470.61
  6. Step 6: Final answer
    x = 30,302.21

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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.