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Finding the Fourth Proportional to 23,159.84, 31,952.94 and 13,087.04

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Solution

The fourth proportional to 23,159.84, 31,952.94 and 13,087.04 is: 18,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,159.84 : 31,952.94 = 13,087.04 : x
  2. Step 2: Convert to fraction form
    23,159.84/31,952.94 = 13,087.04/x
  3. Step 3: Cross multiply
    23,159.84x = 31,952.94 × 13,087.04
  4. Step 4: Simplify right side
    23,159.84x = 418,169,403.90
  5. Step 5: Solve for x
    x = 418,169,403.90/23,159.84
  6. Step 6: Final answer
    x = 18,055.80

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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.