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Finding the Fourth Proportional to 15,643.65, 23,435.24 and 8,697.09

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Solution

The fourth proportional to 15,643.65, 23,435.24 and 8,697.09 is: 13,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.65 : 23,435.24 = 8,697.09 : x
  2. Step 2: Convert to fraction form
    15,643.65/23,435.24 = 8,697.09/x
  3. Step 3: Cross multiply
    15,643.65x = 23,435.24 × 8,697.09
  4. Step 4: Simplify right side
    15,643.65x = 203,818,347.97
  5. Step 5: Solve for x
    x = 203,818,347.97/15,643.65
  6. Step 6: Final answer
    x = 13,028.82

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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.