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Finding the Fourth Proportional to 15,141, 22,729.74 and 10,927.38

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Solution

The fourth proportional to 15,141, 22,729.74 and 10,927.38 is: 16,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141 : 22,729.74 = 10,927.38 : x
  2. Step 2: Convert to fraction form
    15,141/22,729.74 = 10,927.38/x
  3. Step 3: Cross multiply
    15,141x = 22,729.74 × 10,927.38
  4. Step 4: Simplify right side
    15,141x = 248,376,506.28
  5. Step 5: Solve for x
    x = 248,376,506.28/15,141
  6. Step 6: Final answer
    x = 16,404.23

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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.