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Finding the Fourth Proportional to 15,442.65, 23,163.93 and 6,215.13

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Solution

The fourth proportional to 15,442.65, 23,163.93 and 6,215.13 is: 9,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.65 : 23,163.93 = 6,215.13 : x
  2. Step 2: Convert to fraction form
    15,442.65/23,163.93 = 6,215.13/x
  3. Step 3: Cross multiply
    15,442.65x = 23,163.93 × 6,215.13
  4. Step 4: Simplify right side
    15,442.65x = 143,966,836.26
  5. Step 5: Solve for x
    x = 143,966,836.26/15,442.65
  6. Step 6: Final answer
    x = 9,322.68

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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.