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Finding the Fourth Proportional to 15,036.48, 22,548.24 and 5,796

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Solution

The fourth proportional to 15,036.48, 22,548.24 and 5,796 is: 8,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,036.48 : 22,548.24 = 5,796 : x
  2. Step 2: Convert to fraction form
    15,036.48/22,548.24 = 5,796/x
  3. Step 3: Cross multiply
    15,036.48x = 22,548.24 × 5,796
  4. Step 4: Simplify right side
    15,036.48x = 130,689,599.04
  5. Step 5: Solve for x
    x = 130,689,599.04/15,036.48
  6. Step 6: Final answer
    x = 8,691.50

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Why These Related Problems?

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