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Finding the Fourth Proportional to 12,169, 18,240.16 and 4,772.08

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Solution

The fourth proportional to 12,169, 18,240.16 and 4,772.08 is: 7,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169 : 18,240.16 = 4,772.08 : x
  2. Step 2: Convert to fraction form
    12,169/18,240.16 = 4,772.08/x
  3. Step 3: Cross multiply
    12,169x = 18,240.16 × 4,772.08
  4. Step 4: Simplify right side
    12,169x = 87,043,502.73
  5. Step 5: Solve for x
    x = 87,043,502.73/12,169
  6. Step 6: Final answer
    x = 7,152.89

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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.