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Finding the Fourth Proportional to 14,281.26, 19,708.17 and 7,820.87

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Solution

The fourth proportional to 14,281.26, 19,708.17 and 7,820.87 is: 10,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.26 : 19,708.17 = 7,820.87 : x
  2. Step 2: Convert to fraction form
    14,281.26/19,708.17 = 7,820.87/x
  3. Step 3: Cross multiply
    14,281.26x = 19,708.17 × 7,820.87
  4. Step 4: Simplify right side
    14,281.26x = 154,134,996.40
  5. Step 5: Solve for x
    x = 154,134,996.40/14,281.26
  6. Step 6: Final answer
    x = 10,792.81

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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.