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Finding the Fourth Proportional to 12,877.68, 17,768.52 and 7,569.66

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Solution

The fourth proportional to 12,877.68, 17,768.52 and 7,569.66 is: 10,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.68 : 17,768.52 = 7,569.66 : x
  2. Step 2: Convert to fraction form
    12,877.68/17,768.52 = 7,569.66/x
  3. Step 3: Cross multiply
    12,877.68x = 17,768.52 × 7,569.66
  4. Step 4: Simplify right side
    12,877.68x = 134,501,655.10
  5. Step 5: Solve for x
    x = 134,501,655.10/12,877.68
  6. Step 6: Final answer
    x = 10,444.56

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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.