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Finding the Fourth Proportional to 14,913.43, 20,578.53 and 9,246.11

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Solution

The fourth proportional to 14,913.43, 20,578.53 and 9,246.11 is: 12,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913.43 : 20,578.53 = 9,246.11 : x
  2. Step 2: Convert to fraction form
    14,913.43/20,578.53 = 9,246.11/x
  3. Step 3: Cross multiply
    14,913.43x = 20,578.53 × 9,246.11
  4. Step 4: Simplify right side
    14,913.43x = 190,271,352.02
  5. Step 5: Solve for x
    x = 190,271,352.02/14,913.43
  6. Step 6: Final answer
    x = 12,758.39

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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.