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Finding the Fourth Proportional to 17,810.87, 26,725.50 and 7,822.63

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Solution

The fourth proportional to 17,810.87, 26,725.50 and 7,822.63 is: 11,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.87 : 26,725.50 = 7,822.63 : x
  2. Step 2: Convert to fraction form
    17,810.87/26,725.50 = 7,822.63/x
  3. Step 3: Cross multiply
    17,810.87x = 26,725.50 × 7,822.63
  4. Step 4: Simplify right side
    17,810.87x = 209,063,698.07
  5. Step 5: Solve for x
    x = 209,063,698.07/17,810.87
  6. Step 6: Final answer
    x = 11,737.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.