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Finding the Fourth Proportional to 17,120.16, 25,685.64 and 6,026.40

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Solution

The fourth proportional to 17,120.16, 25,685.64 and 6,026.40 is: 9,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,120.16 : 25,685.64 = 6,026.40 : x
  2. Step 2: Convert to fraction form
    17,120.16/25,685.64 = 6,026.40/x
  3. Step 3: Cross multiply
    17,120.16x = 25,685.64 × 6,026.40
  4. Step 4: Simplify right side
    17,120.16x = 154,791,940.90
  5. Step 5: Solve for x
    x = 154,791,940.90/17,120.16
  6. Step 6: Final answer
    x = 9,041.50

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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.