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Finding the Fourth Proportional to 13,376.66, 20,034.12 and 9,605.01

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Solution

The fourth proportional to 13,376.66, 20,034.12 and 9,605.01 is: 14,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.66 : 20,034.12 = 9,605.01 : x
  2. Step 2: Convert to fraction form
    13,376.66/20,034.12 = 9,605.01/x
  3. Step 3: Cross multiply
    13,376.66x = 20,034.12 × 9,605.01
  4. Step 4: Simplify right side
    13,376.66x = 192,427,922.94
  5. Step 5: Solve for x
    x = 192,427,922.94/13,376.66
  6. Step 6: Final answer
    x = 14,385.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.