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Finding the Fourth Proportional to 12,238.61, 16,870.68 and 9,581.40

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Solution

The fourth proportional to 12,238.61, 16,870.68 and 9,581.40 is: 13,207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.61 : 16,870.68 = 9,581.40 : x
  2. Step 2: Convert to fraction form
    12,238.61/16,870.68 = 9,581.40/x
  3. Step 3: Cross multiply
    12,238.61x = 16,870.68 × 9,581.40
  4. Step 4: Simplify right side
    12,238.61x = 161,644,733.35
  5. Step 5: Solve for x
    x = 161,644,733.35/12,238.61
  6. Step 6: Final answer
    x = 13,207.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.