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Finding the Fourth Proportional to 12,528.34, 17,271.03 and 10,166.38

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Solution

The fourth proportional to 12,528.34, 17,271.03 and 10,166.38 is: 14,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528.34 : 17,271.03 = 10,166.38 : x
  2. Step 2: Convert to fraction form
    12,528.34/17,271.03 = 10,166.38/x
  3. Step 3: Cross multiply
    12,528.34x = 17,271.03 × 10,166.38
  4. Step 4: Simplify right side
    12,528.34x = 175,583,853.97
  5. Step 5: Solve for x
    x = 175,583,853.97/12,528.34
  6. Step 6: Final answer
    x = 14,014.93

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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.