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Finding the Fourth Proportional to 15,490.74, 23,238.81 and 5,643.78

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Solution

The fourth proportional to 15,490.74, 23,238.81 and 5,643.78 is: 8,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.74 : 23,238.81 = 5,643.78 : x
  2. Step 2: Convert to fraction form
    15,490.74/23,238.81 = 5,643.78/x
  3. Step 3: Cross multiply
    15,490.74x = 23,238.81 × 5,643.78
  4. Step 4: Simplify right side
    15,490.74x = 131,154,731.10
  5. Step 5: Solve for x
    x = 131,154,731.10/15,490.74
  6. Step 6: Final answer
    x = 8,466.65

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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.