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Finding the Fourth Proportional to 12,580.29, 18,873.53 and 6,258.15

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Solution

The fourth proportional to 12,580.29, 18,873.53 and 6,258.15 is: 9,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.29 : 18,873.53 = 6,258.15 : x
  2. Step 2: Convert to fraction form
    12,580.29/18,873.53 = 6,258.15/x
  3. Step 3: Cross multiply
    12,580.29x = 18,873.53 × 6,258.15
  4. Step 4: Simplify right side
    12,580.29x = 118,113,385.12
  5. Step 5: Solve for x
    x = 118,113,385.12/12,580.29
  6. Step 6: Final answer
    x = 9,388.76

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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.