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Finding the Fourth Proportional to 24,646.56, 36,968.64 and 9,063.20

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Solution

The fourth proportional to 24,646.56, 36,968.64 and 9,063.20 is: 13,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,646.56 : 36,968.64 = 9,063.20 : x
  2. Step 2: Convert to fraction form
    24,646.56/36,968.64 = 9,063.20/x
  3. Step 3: Cross multiply
    24,646.56x = 36,968.64 × 9,063.20
  4. Step 4: Simplify right side
    24,646.56x = 335,054,178.05
  5. Step 5: Solve for x
    x = 335,054,178.05/24,646.56
  6. Step 6: Final answer
    x = 13,594.36

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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.