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Finding the Fourth Proportional to 12,702.67, 17,529.68 and 7,113.67

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Solution

The fourth proportional to 12,702.67, 17,529.68 and 7,113.67 is: 9,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.67 : 17,529.68 = 7,113.67 : x
  2. Step 2: Convert to fraction form
    12,702.67/17,529.68 = 7,113.67/x
  3. Step 3: Cross multiply
    12,702.67x = 17,529.68 × 7,113.67
  4. Step 4: Simplify right side
    12,702.67x = 124,700,332.69
  5. Step 5: Solve for x
    x = 124,700,332.69/12,702.67
  6. Step 6: Final answer
    x = 9,816.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.