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Finding the Fourth Proportional to 14,870.12, 20,519.88 and 8,154.38

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Solution

The fourth proportional to 14,870.12, 20,519.88 and 8,154.38 is: 11,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,870.12 : 20,519.88 = 8,154.38 : x
  2. Step 2: Convert to fraction form
    14,870.12/20,519.88 = 8,154.38/x
  3. Step 3: Cross multiply
    14,870.12x = 20,519.88 × 8,154.38
  4. Step 4: Simplify right side
    14,870.12x = 167,326,899.07
  5. Step 5: Solve for x
    x = 167,326,899.07/14,870.12
  6. Step 6: Final answer
    x = 11,252.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.