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Finding the Fourth Proportional to 31,533.65, 43,516.74 and 17,387.00

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Solution

The fourth proportional to 31,533.65, 43,516.74 and 17,387.00 is: 23,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.65 : 43,516.74 = 17,387.00 : x
  2. Step 2: Convert to fraction form
    31,533.65/43,516.74 = 17,387.00/x
  3. Step 3: Cross multiply
    31,533.65x = 43,516.74 × 17,387.00
  4. Step 4: Simplify right side
    31,533.65x = 756,625,340.80
  5. Step 5: Solve for x
    x = 756,625,340.80/31,533.65
  6. Step 6: Final answer
    x = 23,994.22

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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.