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Finding the Fourth Proportional to 17,126.16, 25,694.64 and 6,032.40

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Solution

The fourth proportional to 17,126.16, 25,694.64 and 6,032.40 is: 9,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,126.16 : 25,694.64 = 6,032.40 : x
  2. Step 2: Convert to fraction form
    17,126.16/25,694.64 = 6,032.40/x
  3. Step 3: Cross multiply
    17,126.16x = 25,694.64 × 6,032.40
  4. Step 4: Simplify right side
    17,126.16x = 155,000,346.34
  5. Step 5: Solve for x
    x = 155,000,346.34/17,126.16
  6. Step 6: Final answer
    x = 9,050.50

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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.