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Finding the Fourth Proportional to 23,316.46, 32,177.08 and 12,706.08

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Solution

The fourth proportional to 23,316.46, 32,177.08 and 12,706.08 is: 17,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,316.46 : 32,177.08 = 12,706.08 : x
  2. Step 2: Convert to fraction form
    23,316.46/32,177.08 = 12,706.08/x
  3. Step 3: Cross multiply
    23,316.46x = 32,177.08 × 12,706.08
  4. Step 4: Simplify right side
    23,316.46x = 408,844,552.65
  5. Step 5: Solve for x
    x = 408,844,552.65/23,316.46
  6. Step 6: Final answer
    x = 17,534.59

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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.