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Finding the Fourth Proportional to 24,856.64, 37,336.80 and 14,488.64

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Solution

The fourth proportional to 24,856.64, 37,336.80 and 14,488.64 is: 21,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.64 : 37,336.80 = 14,488.64 : x
  2. Step 2: Convert to fraction form
    24,856.64/37,336.80 = 14,488.64/x
  3. Step 3: Cross multiply
    24,856.64x = 37,336.80 × 14,488.64
  4. Step 4: Simplify right side
    24,856.64x = 540,959,453.95
  5. Step 5: Solve for x
    x = 540,959,453.95/24,856.64
  6. Step 6: Final answer
    x = 21,763.18

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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.