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Finding the Fourth Proportional to 24,357.28, 36,537.18 and 7,719.08

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Solution

The fourth proportional to 24,357.28, 36,537.18 and 7,719.08 is: 11,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.28 : 36,537.18 = 7,719.08 : x
  2. Step 2: Convert to fraction form
    24,357.28/36,537.18 = 7,719.08/x
  3. Step 3: Cross multiply
    24,357.28x = 36,537.18 × 7,719.08
  4. Step 4: Simplify right side
    24,357.28x = 282,033,415.39
  5. Step 5: Solve for x
    x = 282,033,415.39/24,357.28
  6. Step 6: Final answer
    x = 11,579.02

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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.