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Finding the Fourth Proportional to 24,582.82, 36,864.80 and 8,784.88

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Solution

The fourth proportional to 24,582.82, 36,864.80 and 8,784.88 is: 13,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582.82 : 36,864.80 = 8,784.88 : x
  2. Step 2: Convert to fraction form
    24,582.82/36,864.80 = 8,784.88/x
  3. Step 3: Cross multiply
    24,582.82x = 36,864.80 × 8,784.88
  4. Step 4: Simplify right side
    24,582.82x = 323,852,774.02
  5. Step 5: Solve for x
    x = 323,852,774.02/24,582.82
  6. Step 6: Final answer
    x = 13,173.95

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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.