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Finding the Fourth Proportional to 17,514.40, 26,248.80 and 7,114

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Solution

The fourth proportional to 17,514.40, 26,248.80 and 7,114 is: 10,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.40 : 26,248.80 = 7,114 : x
  2. Step 2: Convert to fraction form
    17,514.40/26,248.80 = 7,114/x
  3. Step 3: Cross multiply
    17,514.40x = 26,248.80 × 7,114
  4. Step 4: Simplify right side
    17,514.40x = 186,733,963.20
  5. Step 5: Solve for x
    x = 186,733,963.20/17,514.40
  6. Step 6: Final answer
    x = 10,661.74

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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.