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Finding the Fourth Proportional to 14,746.28, 20,335.38 and 12,514.28

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Solution

The fourth proportional to 14,746.28, 20,335.38 and 12,514.28 is: 17,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746.28 : 20,335.38 = 12,514.28 : x
  2. Step 2: Convert to fraction form
    14,746.28/20,335.38 = 12,514.28/x
  3. Step 3: Cross multiply
    14,746.28x = 20,335.38 × 12,514.28
  4. Step 4: Simplify right side
    14,746.28x = 254,482,639.23
  5. Step 5: Solve for x
    x = 254,482,639.23/14,746.28
  6. Step 6: Final answer
    x = 17,257.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.