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Finding the Fourth Proportional to 24,417.12, 36,628.02 and 6,648

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Solution

The fourth proportional to 24,417.12, 36,628.02 and 6,648 is: 9,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.12 : 36,628.02 = 6,648 : x
  2. Step 2: Convert to fraction form
    24,417.12/36,628.02 = 6,648/x
  3. Step 3: Cross multiply
    24,417.12x = 36,628.02 × 6,648
  4. Step 4: Simplify right side
    24,417.12x = 243,503,076.96
  5. Step 5: Solve for x
    x = 243,503,076.96/24,417.12
  6. Step 6: Final answer
    x = 9,972.64

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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.