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Finding the Fourth Proportional to 19,514.66, 26,930.31 and 10,562.16

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Solution

The fourth proportional to 19,514.66, 26,930.31 and 10,562.16 is: 14,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514.66 : 26,930.31 = 10,562.16 : x
  2. Step 2: Convert to fraction form
    19,514.66/26,930.31 = 10,562.16/x
  3. Step 3: Cross multiply
    19,514.66x = 26,930.31 × 10,562.16
  4. Step 4: Simplify right side
    19,514.66x = 284,442,243.07
  5. Step 5: Solve for x
    x = 284,442,243.07/19,514.66
  6. Step 6: Final answer
    x = 14,575.82

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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.