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Finding the Fourth Proportional to 23,179.66, 32,005.47 and 14,239.42

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Solution

The fourth proportional to 23,179.66, 32,005.47 and 14,239.42 is: 19,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.66 : 32,005.47 = 14,239.42 : x
  2. Step 2: Convert to fraction form
    23,179.66/32,005.47 = 14,239.42/x
  3. Step 3: Cross multiply
    23,179.66x = 32,005.47 × 14,239.42
  4. Step 4: Simplify right side
    23,179.66x = 455,739,329.63
  5. Step 5: Solve for x
    x = 455,739,329.63/23,179.66
  6. Step 6: Final answer
    x = 19,661.17

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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.