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Finding the Fourth Proportional to 17,480.16, 24,122.32 and 9,926.40

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Solution

The fourth proportional to 17,480.16, 24,122.32 and 9,926.40 is: 13,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,480.16 : 24,122.32 = 9,926.40 : x
  2. Step 2: Convert to fraction form
    17,480.16/24,122.32 = 9,926.40/x
  3. Step 3: Cross multiply
    17,480.16x = 24,122.32 × 9,926.40
  4. Step 4: Simplify right side
    17,480.16x = 239,447,797.25
  5. Step 5: Solve for x
    x = 239,447,797.25/17,480.16
  6. Step 6: Final answer
    x = 13,698.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.