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Finding the Fourth Proportional to 12,117.40, 18,258.58 and 9,974.20

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Solution

The fourth proportional to 12,117.40, 18,258.58 and 9,974.20 is: 15,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.40 : 18,258.58 = 9,974.20 : x
  2. Step 2: Convert to fraction form
    12,117.40/18,258.58 = 9,974.20/x
  3. Step 3: Cross multiply
    12,117.40x = 18,258.58 × 9,974.20
  4. Step 4: Simplify right side
    12,117.40x = 182,114,728.64
  5. Step 5: Solve for x
    x = 182,114,728.64/12,117.40
  6. Step 6: Final answer
    x = 15,029.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.