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Finding the Fourth Proportional to 31,802.87, 43,886.24 and 17,654.80

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Solution

The fourth proportional to 31,802.87, 43,886.24 and 17,654.80 is: 24,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.87 : 43,886.24 = 17,654.80 : x
  2. Step 2: Convert to fraction form
    31,802.87/43,886.24 = 17,654.80/x
  3. Step 3: Cross multiply
    31,802.87x = 43,886.24 × 17,654.80
  4. Step 4: Simplify right side
    31,802.87x = 774,802,482.25
  5. Step 5: Solve for x
    x = 774,802,482.25/31,802.87
  6. Step 6: Final answer
    x = 24,362.66

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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.