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Finding the Fourth Proportional to 13,882.76, 19,158.74 and 7,915.40

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Solution

The fourth proportional to 13,882.76, 19,158.74 and 7,915.40 is: 10,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.76 : 19,158.74 = 7,915.40 : x
  2. Step 2: Convert to fraction form
    13,882.76/19,158.74 = 7,915.40/x
  3. Step 3: Cross multiply
    13,882.76x = 19,158.74 × 7,915.40
  4. Step 4: Simplify right side
    13,882.76x = 151,649,090.60
  5. Step 5: Solve for x
    x = 151,649,090.60/13,882.76
  6. Step 6: Final answer
    x = 10,923.55

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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.