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Finding the Fourth Proportional to 14,132.34, 19,502.88 and 7,759.53

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Solution

The fourth proportional to 14,132.34, 19,502.88 and 7,759.53 is: 10,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.34 : 19,502.88 = 7,759.53 : x
  2. Step 2: Convert to fraction form
    14,132.34/19,502.88 = 7,759.53/x
  3. Step 3: Cross multiply
    14,132.34x = 19,502.88 × 7,759.53
  4. Step 4: Simplify right side
    14,132.34x = 151,333,182.45
  5. Step 5: Solve for x
    x = 151,333,182.45/14,132.34
  6. Step 6: Final answer
    x = 10,708.29

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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.