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Finding the Fourth Proportional to 22,582.80, 33,877.80 and 9,428.40

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Solution

The fourth proportional to 22,582.80, 33,877.80 and 9,428.40 is: 14,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.80 : 33,877.80 = 9,428.40 : x
  2. Step 2: Convert to fraction form
    22,582.80/33,877.80 = 9,428.40/x
  3. Step 3: Cross multiply
    22,582.80x = 33,877.80 × 9,428.40
  4. Step 4: Simplify right side
    22,582.80x = 319,413,449.52
  5. Step 5: Solve for x
    x = 319,413,449.52/22,582.80
  6. Step 6: Final answer
    x = 14,144.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.