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Finding the Fourth Proportional to 14,030.43, 19,361.86 and 7,657.14

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Solution

The fourth proportional to 14,030.43, 19,361.86 and 7,657.14 is: 10,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.43 : 19,361.86 = 7,657.14 : x
  2. Step 2: Convert to fraction form
    14,030.43/19,361.86 = 7,657.14/x
  3. Step 3: Cross multiply
    14,030.43x = 19,361.86 × 7,657.14
  4. Step 4: Simplify right side
    14,030.43x = 148,256,472.68
  5. Step 5: Solve for x
    x = 148,256,472.68/14,030.43
  6. Step 6: Final answer
    x = 10,566.78

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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.