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Finding the Fourth Proportional to 22,843.50, 31,524.03 and 12,907.50

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Solution

The fourth proportional to 22,843.50, 31,524.03 and 12,907.50 is: 17,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.50 : 31,524.03 = 12,907.50 : x
  2. Step 2: Convert to fraction form
    22,843.50/31,524.03 = 12,907.50/x
  3. Step 3: Cross multiply
    22,843.50x = 31,524.03 × 12,907.50
  4. Step 4: Simplify right side
    22,843.50x = 406,896,417.23
  5. Step 5: Solve for x
    x = 406,896,417.23/22,843.50
  6. Step 6: Final answer
    x = 17,812.35

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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.