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Finding the Fourth Proportional to 24,714.48, 34,097.52 and 14,096.48

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Solution

The fourth proportional to 24,714.48, 34,097.52 and 14,096.48 is: 19,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.48 : 34,097.52 = 14,096.48 : x
  2. Step 2: Convert to fraction form
    24,714.48/34,097.52 = 14,096.48/x
  3. Step 3: Cross multiply
    24,714.48x = 34,097.52 × 14,096.48
  4. Step 4: Simplify right side
    24,714.48x = 480,655,008.73
  5. Step 5: Solve for x
    x = 480,655,008.73/24,714.48
  6. Step 6: Final answer
    x = 19,448.32

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1.5x scale

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.