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Finding the Fourth Proportional to 15,326.40, 22,983.12 and 5,463.84

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Solution

The fourth proportional to 15,326.40, 22,983.12 and 5,463.84 is: 8,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,326.40 : 22,983.12 = 5,463.84 : x
  2. Step 2: Convert to fraction form
    15,326.40/22,983.12 = 5,463.84/x
  3. Step 3: Cross multiply
    15,326.40x = 22,983.12 × 5,463.84
  4. Step 4: Simplify right side
    15,326.40x = 125,576,090.38
  5. Step 5: Solve for x
    x = 125,576,090.38/15,326.40
  6. Step 6: Final answer
    x = 8,193.45

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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.