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Finding the Fourth Proportional to 22,578.42, 33,862.16 and 9,423.66

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Solution

The fourth proportional to 22,578.42, 33,862.16 and 9,423.66 is: 14,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.42 : 33,862.16 = 9,423.66 : x
  2. Step 2: Convert to fraction form
    22,578.42/33,862.16 = 9,423.66/x
  3. Step 3: Cross multiply
    22,578.42x = 33,862.16 × 9,423.66
  4. Step 4: Simplify right side
    22,578.42x = 319,105,482.71
  5. Step 5: Solve for x
    x = 319,105,482.71/22,578.42
  6. Step 6: Final answer
    x = 14,133.21

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