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Finding the Fourth Proportional to 12,527.34, 17,269.65 and 10,165.38

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Solution

The fourth proportional to 12,527.34, 17,269.65 and 10,165.38 is: 14,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.34 : 17,269.65 = 10,165.38 : x
  2. Step 2: Convert to fraction form
    12,527.34/17,269.65 = 10,165.38/x
  3. Step 3: Cross multiply
    12,527.34x = 17,269.65 × 10,165.38
  4. Step 4: Simplify right side
    12,527.34x = 175,552,554.72
  5. Step 5: Solve for x
    x = 175,552,554.72/12,527.34
  6. Step 6: Final answer
    x = 14,013.55

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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.