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Finding the Fourth Proportional to 22,597.97, 31,185.14 and 13,643.70

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Solution

The fourth proportional to 22,597.97, 31,185.14 and 13,643.70 is: 18,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.97 : 31,185.14 = 13,643.70 : x
  2. Step 2: Convert to fraction form
    22,597.97/31,185.14 = 13,643.70/x
  3. Step 3: Cross multiply
    22,597.97x = 31,185.14 × 13,643.70
  4. Step 4: Simplify right side
    22,597.97x = 425,480,626.40
  5. Step 5: Solve for x
    x = 425,480,626.40/22,597.97
  6. Step 6: Final answer
    x = 18,828.27

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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.