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Finding the Fourth Proportional to 12,577.66, 18,871.88 and 4,258.55

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Solution

The fourth proportional to 12,577.66, 18,871.88 and 4,258.55 is: 6,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.66 : 18,871.88 = 4,258.55 : x
  2. Step 2: Convert to fraction form
    12,577.66/18,871.88 = 4,258.55/x
  3. Step 3: Cross multiply
    12,577.66x = 18,871.88 × 4,258.55
  4. Step 4: Simplify right side
    12,577.66x = 80,366,870.46
  5. Step 5: Solve for x
    x = 80,366,870.46/12,577.66
  6. Step 6: Final answer
    x = 6,389.65

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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.