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Finding the Fourth Proportional to 14,718.57, 20,307.12 and 8,344.14

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Solution

The fourth proportional to 14,718.57, 20,307.12 and 8,344.14 is: 11,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718.57 : 20,307.12 = 8,344.14 : x
  2. Step 2: Convert to fraction form
    14,718.57/20,307.12 = 8,344.14/x
  3. Step 3: Cross multiply
    14,718.57x = 20,307.12 × 8,344.14
  4. Step 4: Simplify right side
    14,718.57x = 169,445,452.28
  5. Step 5: Solve for x
    x = 169,445,452.28/14,718.57
  6. Step 6: Final answer
    x = 11,512.36

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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.