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Finding the Fourth Proportional to 14,882.62, 22,312.23 and 10,188.40

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Solution

The fourth proportional to 14,882.62, 22,312.23 and 10,188.40 is: 15,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.62 : 22,312.23 = 10,188.40 : x
  2. Step 2: Convert to fraction form
    14,882.62/22,312.23 = 10,188.40/x
  3. Step 3: Cross multiply
    14,882.62x = 22,312.23 × 10,188.40
  4. Step 4: Simplify right side
    14,882.62x = 227,325,924.42
  5. Step 5: Solve for x
    x = 227,325,924.42/14,882.62
  6. Step 6: Final answer
    x = 15,274.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.