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Finding the Fourth Proportional to 23,353.65, 32,229 and 12,743.82

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Solution

The fourth proportional to 23,353.65, 32,229 and 12,743.82 is: 17,587.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.65 : 32,229 = 12,743.82 : x
  2. Step 2: Convert to fraction form
    23,353.65/32,229 = 12,743.82/x
  3. Step 3: Cross multiply
    23,353.65x = 32,229 × 12,743.82
  4. Step 4: Simplify right side
    23,353.65x = 410,720,574.78
  5. Step 5: Solve for x
    x = 410,720,574.78/23,353.65
  6. Step 6: Final answer
    x = 17,587.00

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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.