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Finding the Fourth Proportional to 19,232.52, 26,541.68 and 10,849

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Solution

The fourth proportional to 19,232.52, 26,541.68 and 10,849 is: 14,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232.52 : 26,541.68 = 10,849 : x
  2. Step 2: Convert to fraction form
    19,232.52/26,541.68 = 10,849/x
  3. Step 3: Cross multiply
    19,232.52x = 26,541.68 × 10,849
  4. Step 4: Simplify right side
    19,232.52x = 287,950,686.32
  5. Step 5: Solve for x
    x = 287,950,686.32/19,232.52
  6. Step 6: Final answer
    x = 14,972.07

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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.