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Finding the Fourth Proportional to 14,158.55, 19,538.25 and 7,871.33

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Solution

The fourth proportional to 14,158.55, 19,538.25 and 7,871.33 is: 10,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.55 : 19,538.25 = 7,871.33 : x
  2. Step 2: Convert to fraction form
    14,158.55/19,538.25 = 7,871.33/x
  3. Step 3: Cross multiply
    14,158.55x = 19,538.25 × 7,871.33
  4. Step 4: Simplify right side
    14,158.55x = 153,791,915.68
  5. Step 5: Solve for x
    x = 153,791,915.68/14,158.55
  6. Step 6: Final answer
    x = 10,862.13

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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.