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Finding the Fourth Proportional to 12,176.34, 18,264.51 and 9,407.04

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Solution

The fourth proportional to 12,176.34, 18,264.51 and 9,407.04 is: 14,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.34 : 18,264.51 = 9,407.04 : x
  2. Step 2: Convert to fraction form
    12,176.34/18,264.51 = 9,407.04/x
  3. Step 3: Cross multiply
    12,176.34x = 18,264.51 × 9,407.04
  4. Step 4: Simplify right side
    12,176.34x = 171,814,976.15
  5. Step 5: Solve for x
    x = 171,814,976.15/12,176.34
  6. Step 6: Final answer
    x = 14,110.56

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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.