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Finding the Fourth Proportional to 23,205.66, 34,784.80 and 9,175.38

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Solution

The fourth proportional to 23,205.66, 34,784.80 and 9,175.38 is: 13,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.66 : 34,784.80 = 9,175.38 : x
  2. Step 2: Convert to fraction form
    23,205.66/34,784.80 = 9,175.38/x
  3. Step 3: Cross multiply
    23,205.66x = 34,784.80 × 9,175.38
  4. Step 4: Simplify right side
    23,205.66x = 319,163,669.36
  5. Step 5: Solve for x
    x = 319,163,669.36/23,205.66
  6. Step 6: Final answer
    x = 13,753.70

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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.