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Finding the Fourth Proportional to 23,175.66, 31,999.95 and 14,235.42

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Solution

The fourth proportional to 23,175.66, 31,999.95 and 14,235.42 is: 19,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.66 : 31,999.95 = 14,235.42 : x
  2. Step 2: Convert to fraction form
    23,175.66/31,999.95 = 14,235.42/x
  3. Step 3: Cross multiply
    23,175.66x = 31,999.95 × 14,235.42
  4. Step 4: Simplify right side
    23,175.66x = 455,532,728.23
  5. Step 5: Solve for x
    x = 455,532,728.23/23,175.66
  6. Step 6: Final answer
    x = 19,655.65

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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.