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Finding the Fourth Proportional to 12,913.86, 17,821.86 and 7,248.30

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Solution

The fourth proportional to 12,913.86, 17,821.86 and 7,248.30 is: 10,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.86 : 17,821.86 = 7,248.30 : x
  2. Step 2: Convert to fraction form
    12,913.86/17,821.86 = 7,248.30/x
  3. Step 3: Cross multiply
    12,913.86x = 17,821.86 × 7,248.30
  4. Step 4: Simplify right side
    12,913.86x = 129,178,187.84
  5. Step 5: Solve for x
    x = 129,178,187.84/12,913.86
  6. Step 6: Final answer
    x = 10,003.07

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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.