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Finding the Fourth Proportional to 14,382.38, 19,848.76 and 8,094.62

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Solution

The fourth proportional to 14,382.38, 19,848.76 and 8,094.62 is: 11,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.38 : 19,848.76 = 8,094.62 : x
  2. Step 2: Convert to fraction form
    14,382.38/19,848.76 = 8,094.62/x
  3. Step 3: Cross multiply
    14,382.38x = 19,848.76 × 8,094.62
  4. Step 4: Simplify right side
    14,382.38x = 160,668,050.19
  5. Step 5: Solve for x
    x = 160,668,050.19/14,382.38
  6. Step 6: Final answer
    x = 11,171.18

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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.