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Finding the Fourth Proportional to 17,876.16, 26,814.24 and 10,531.80

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Solution

The fourth proportional to 17,876.16, 26,814.24 and 10,531.80 is: 15,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.16 : 26,814.24 = 10,531.80 : x
  2. Step 2: Convert to fraction form
    17,876.16/26,814.24 = 10,531.80/x
  3. Step 3: Cross multiply
    17,876.16x = 26,814.24 × 10,531.80
  4. Step 4: Simplify right side
    17,876.16x = 282,402,212.83
  5. Step 5: Solve for x
    x = 282,402,212.83/17,876.16
  6. Step 6: Final answer
    x = 15,797.70

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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.