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Finding the Fourth Proportional to 12,196.63, 18,254.85 and 9,258.76

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Solution

The fourth proportional to 12,196.63, 18,254.85 and 9,258.76 is: 13,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.63 : 18,254.85 = 9,258.76 : x
  2. Step 2: Convert to fraction form
    12,196.63/18,254.85 = 9,258.76/x
  3. Step 3: Cross multiply
    12,196.63x = 18,254.85 × 9,258.76
  4. Step 4: Simplify right side
    12,196.63x = 169,017,274.99
  5. Step 5: Solve for x
    x = 169,017,274.99/12,196.63
  6. Step 6: Final answer
    x = 13,857.70

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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.