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Finding the Fourth Proportional to 12,952.70, 17,881.23 and 7,649.18

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Solution

The fourth proportional to 12,952.70, 17,881.23 and 7,649.18 is: 10,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.70 : 17,881.23 = 7,649.18 : x
  2. Step 2: Convert to fraction form
    12,952.70/17,881.23 = 7,649.18/x
  3. Step 3: Cross multiply
    12,952.70x = 17,881.23 × 7,649.18
  4. Step 4: Simplify right side
    12,952.70x = 136,776,746.89
  5. Step 5: Solve for x
    x = 136,776,746.89/12,952.70
  6. Step 6: Final answer
    x = 10,559.71

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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.