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Finding the Fourth Proportional to 12,577.66, 18,875.15 and 5,182.13

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Solution

The fourth proportional to 12,577.66, 18,875.15 and 5,182.13 is: 7,776.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.66 : 18,875.15 = 5,182.13 : x
  2. Step 2: Convert to fraction form
    12,577.66/18,875.15 = 5,182.13/x
  3. Step 3: Cross multiply
    12,577.66x = 18,875.15 × 5,182.13
  4. Step 4: Simplify right side
    12,577.66x = 97,813,433.88
  5. Step 5: Solve for x
    x = 97,813,433.88/12,577.66
  6. Step 6: Final answer
    x = 7,776.76

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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.