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Finding the Fourth Proportional to 16,851, 25,276.50 and 5,164.14

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Solution

The fourth proportional to 16,851, 25,276.50 and 5,164.14 is: 7,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851 : 25,276.50 = 5,164.14 : x
  2. Step 2: Convert to fraction form
    16,851/25,276.50 = 5,164.14/x
  3. Step 3: Cross multiply
    16,851x = 25,276.50 × 5,164.14
  4. Step 4: Simplify right side
    16,851x = 130,531,384.71
  5. Step 5: Solve for x
    x = 130,531,384.71/16,851
  6. Step 6: Final answer
    x = 7,746.21

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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.