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Finding the Fourth Proportional to 12,910.95, 19,317.51 and 7,648.78

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Solution

The fourth proportional to 12,910.95, 19,317.51 and 7,648.78 is: 11,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.95 : 19,317.51 = 7,648.78 : x
  2. Step 2: Convert to fraction form
    12,910.95/19,317.51 = 7,648.78/x
  3. Step 3: Cross multiply
    12,910.95x = 19,317.51 × 7,648.78
  4. Step 4: Simplify right side
    12,910.95x = 147,755,384.14
  5. Step 5: Solve for x
    x = 147,755,384.14/12,910.95
  6. Step 6: Final answer
    x = 11,444.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.