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Finding the Fourth Proportional to 23,706, 32,714.28 and 14,276.39

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Solution

The fourth proportional to 23,706, 32,714.28 and 14,276.39 is: 19,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706 : 32,714.28 = 14,276.39 : x
  2. Step 2: Convert to fraction form
    23,706/32,714.28 = 14,276.39/x
  3. Step 3: Cross multiply
    23,706x = 32,714.28 × 14,276.39
  4. Step 4: Simplify right side
    23,706x = 467,041,656.28
  5. Step 5: Solve for x
    x = 467,041,656.28/23,706
  6. Step 6: Final answer
    x = 19,701.41

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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.