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Finding the Fourth Proportional to 17,496, 26,235.36 and 6,401.16

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Solution

The fourth proportional to 17,496, 26,235.36 and 6,401.16 is: 9,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496 : 26,235.36 = 6,401.16 : x
  2. Step 2: Convert to fraction form
    17,496/26,235.36 = 6,401.16/x
  3. Step 3: Cross multiply
    17,496x = 26,235.36 × 6,401.16
  4. Step 4: Simplify right side
    17,496x = 167,936,737.02
  5. Step 5: Solve for x
    x = 167,936,737.02/17,496
  6. Step 6: Final answer
    x = 9,598.58

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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.