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Finding the Fourth Proportional to 17,484, 26,230.16 and 5,797.22

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Solution

The fourth proportional to 17,484, 26,230.16 and 5,797.22 is: 8,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,484 : 26,230.16 = 5,797.22 : x
  2. Step 2: Convert to fraction form
    17,484/26,230.16 = 5,797.22/x
  3. Step 3: Cross multiply
    17,484x = 26,230.16 × 5,797.22
  4. Step 4: Simplify right side
    17,484x = 152,061,848.02
  5. Step 5: Solve for x
    x = 152,061,848.02/17,484
  6. Step 6: Final answer
    x = 8,697.20

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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.