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Finding the Fourth Proportional to 23,179.58, 31,988.03 and 12,569.24

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Solution

The fourth proportional to 23,179.58, 31,988.03 and 12,569.24 is: 17,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.58 : 31,988.03 = 12,569.24 : x
  2. Step 2: Convert to fraction form
    23,179.58/31,988.03 = 12,569.24/x
  3. Step 3: Cross multiply
    23,179.58x = 31,988.03 × 12,569.24
  4. Step 4: Simplify right side
    23,179.58x = 402,065,226.20
  5. Step 5: Solve for x
    x = 402,065,226.20/23,179.58
  6. Step 6: Final answer
    x = 17,345.66

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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.