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Finding the Fourth Proportional to 16,862, 25,275.72 and 7,007

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Solution

The fourth proportional to 16,862, 25,275.72 and 7,007 is: 10,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,862 : 25,275.72 = 7,007 : x
  2. Step 2: Convert to fraction form
    16,862/25,275.72 = 7,007/x
  3. Step 3: Cross multiply
    16,862x = 25,275.72 × 7,007
  4. Step 4: Simplify right side
    16,862x = 177,106,970.04
  5. Step 5: Solve for x
    x = 177,106,970.04/16,862
  6. Step 6: Final answer
    x = 10,503.32

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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.