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Finding the Fourth Proportional to 14,587.87, 20,130.79 and 8,214.79

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Solution

The fourth proportional to 14,587.87, 20,130.79 and 8,214.79 is: 11,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.87 : 20,130.79 = 8,214.79 : x
  2. Step 2: Convert to fraction form
    14,587.87/20,130.79 = 8,214.79/x
  3. Step 3: Cross multiply
    14,587.87x = 20,130.79 × 8,214.79
  4. Step 4: Simplify right side
    14,587.87x = 165,370,212.38
  5. Step 5: Solve for x
    x = 165,370,212.38/14,587.87
  6. Step 6: Final answer
    x = 11,336.15

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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.