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Finding the Fourth Proportional to 14,882.40, 22,312.64 and 7,096.68

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Solution

The fourth proportional to 14,882.40, 22,312.64 and 7,096.68 is: 10,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.40 : 22,312.64 = 7,096.68 : x
  2. Step 2: Convert to fraction form
    14,882.40/22,312.64 = 7,096.68/x
  3. Step 3: Cross multiply
    14,882.40x = 22,312.64 × 7,096.68
  4. Step 4: Simplify right side
    14,882.40x = 158,345,666.04
  5. Step 5: Solve for x
    x = 158,345,666.04/14,882.40
  6. Step 6: Final answer
    x = 10,639.79

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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.