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Finding the Fourth Proportional to 13,695.38, 20,444 and 12,034.63

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Solution

The fourth proportional to 13,695.38, 20,444 and 12,034.63 is: 17,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.38 : 20,444 = 12,034.63 : x
  2. Step 2: Convert to fraction form
    13,695.38/20,444 = 12,034.63/x
  3. Step 3: Cross multiply
    13,695.38x = 20,444 × 12,034.63
  4. Step 4: Simplify right side
    13,695.38x = 246,035,975.72
  5. Step 5: Solve for x
    x = 246,035,975.72/13,695.38
  6. Step 6: Final answer
    x = 17,964.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.