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Finding the Fourth Proportional to 15,282.47, 22,923.74 and 4,189.32

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Solution

The fourth proportional to 15,282.47, 22,923.74 and 4,189.32 is: 6,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,282.47 : 22,923.74 = 4,189.32 : x
  2. Step 2: Convert to fraction form
    15,282.47/22,923.74 = 4,189.32/x
  3. Step 3: Cross multiply
    15,282.47x = 22,923.74 × 4,189.32
  4. Step 4: Simplify right side
    15,282.47x = 96,034,892.93
  5. Step 5: Solve for x
    x = 96,034,892.93/15,282.47
  6. Step 6: Final answer
    x = 6,283.99

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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.