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Finding the Fourth Proportional to 24,708, 37,065.84 and 8,295.84

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Solution

The fourth proportional to 24,708, 37,065.84 and 8,295.84 is: 12,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708 : 37,065.84 = 8,295.84 : x
  2. Step 2: Convert to fraction form
    24,708/37,065.84 = 8,295.84/x
  3. Step 3: Cross multiply
    24,708x = 37,065.84 × 8,295.84
  4. Step 4: Simplify right side
    24,708x = 307,492,278.11
  5. Step 5: Solve for x
    x = 307,492,278.11/24,708
  6. Step 6: Final answer
    x = 12,445.05

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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.