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Finding the Fourth Proportional to 14,882.80, 22,316.10 and 6,107.80

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Solution

The fourth proportional to 14,882.80, 22,316.10 and 6,107.80 is: 9,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.80 : 22,316.10 = 6,107.80 : x
  2. Step 2: Convert to fraction form
    14,882.80/22,316.10 = 6,107.80/x
  3. Step 3: Cross multiply
    14,882.80x = 22,316.10 × 6,107.80
  4. Step 4: Simplify right side
    14,882.80x = 136,302,275.58
  5. Step 5: Solve for x
    x = 136,302,275.58/14,882.80
  6. Step 6: Final answer
    x = 9,158.38

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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.