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Finding the Fourth Proportional to 12,913.74, 17,820 and 7,247.66

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Solution

The fourth proportional to 12,913.74, 17,820 and 7,247.66 is: 10,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.74 : 17,820 = 7,247.66 : x
  2. Step 2: Convert to fraction form
    12,913.74/17,820 = 7,247.66/x
  3. Step 3: Cross multiply
    12,913.74x = 17,820 × 7,247.66
  4. Step 4: Simplify right side
    12,913.74x = 129,153,212.10
  5. Step 5: Solve for x
    x = 129,153,212.10/12,913.74
  6. Step 6: Final answer
    x = 10,001.22

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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.