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Finding the Fourth Proportional to 12,506.70, 17,259.57 and 7,201.74

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Solution

The fourth proportional to 12,506.70, 17,259.57 and 7,201.74 is: 9,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.70 : 17,259.57 = 7,201.74 : x
  2. Step 2: Convert to fraction form
    12,506.70/17,259.57 = 7,201.74/x
  3. Step 3: Cross multiply
    12,506.70x = 17,259.57 × 7,201.74
  4. Step 4: Simplify right side
    12,506.70x = 124,298,935.65
  5. Step 5: Solve for x
    x = 124,298,935.65/12,506.70
  6. Step 6: Final answer
    x = 9,938.59

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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.