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Finding the Fourth Proportional to 16,001.16, 23,968.02 and 10,429.78

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Solution

The fourth proportional to 16,001.16, 23,968.02 and 10,429.78 is: 15,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.16 : 23,968.02 = 10,429.78 : x
  2. Step 2: Convert to fraction form
    16,001.16/23,968.02 = 10,429.78/x
  3. Step 3: Cross multiply
    16,001.16x = 23,968.02 × 10,429.78
  4. Step 4: Simplify right side
    16,001.16x = 249,981,175.64
  5. Step 5: Solve for x
    x = 249,981,175.64/16,001.16
  6. Step 6: Final answer
    x = 15,622.69

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1.5x scale

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.