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Finding the Fourth Proportional to 22,578.35, 31,142.61 and 15,492.47

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Solution

The fourth proportional to 22,578.35, 31,142.61 and 15,492.47 is: 21,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.35 : 31,142.61 = 15,492.47 : x
  2. Step 2: Convert to fraction form
    22,578.35/31,142.61 = 15,492.47/x
  3. Step 3: Cross multiply
    22,578.35x = 31,142.61 × 15,492.47
  4. Step 4: Simplify right side
    22,578.35x = 482,475,795.43
  5. Step 5: Solve for x
    x = 482,475,795.43/22,578.35
  6. Step 6: Final answer
    x = 21,368.96

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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.