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Finding the Fourth Proportional to 22,597.50, 31,185.69 and 13,033.83

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Solution

The fourth proportional to 22,597.50, 31,185.69 and 13,033.83 is: 17,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.50 : 31,185.69 = 13,033.83 : x
  2. Step 2: Convert to fraction form
    22,597.50/31,185.69 = 13,033.83/x
  3. Step 3: Cross multiply
    22,597.50x = 31,185.69 × 13,033.83
  4. Step 4: Simplify right side
    22,597.50x = 406,468,981.89
  5. Step 5: Solve for x
    x = 406,468,981.89/22,597.50
  6. Step 6: Final answer
    x = 17,987.34

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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.