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Finding the Fourth Proportional to 23,665.66, 32,658.38 and 13,055.30

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Solution

The fourth proportional to 23,665.66, 32,658.38 and 13,055.30 is: 18,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,665.66 : 32,658.38 = 13,055.30 : x
  2. Step 2: Convert to fraction form
    23,665.66/32,658.38 = 13,055.30/x
  3. Step 3: Cross multiply
    23,665.66x = 32,658.38 × 13,055.30
  4. Step 4: Simplify right side
    23,665.66x = 426,364,948.41
  5. Step 5: Solve for x
    x = 426,364,948.41/23,665.66
  6. Step 6: Final answer
    x = 18,016.19

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Why These Related Problems?

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