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Finding the Fourth Proportional to 23,184.92, 31,995.02 and 12,574.58

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Solution

The fourth proportional to 23,184.92, 31,995.02 and 12,574.58 is: 17,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.92 : 31,995.02 = 12,574.58 : x
  2. Step 2: Convert to fraction form
    23,184.92/31,995.02 = 12,574.58/x
  3. Step 3: Cross multiply
    23,184.92x = 31,995.02 × 12,574.58
  4. Step 4: Simplify right side
    23,184.92x = 402,323,810.05
  5. Step 5: Solve for x
    x = 402,323,810.05/23,184.92
  6. Step 6: Final answer
    x = 17,352.82

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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.