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Finding the Fourth Proportional to 17,724.93, 24,460.41 and 9,658.53

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Solution

The fourth proportional to 17,724.93, 24,460.41 and 9,658.53 is: 13,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.93 : 24,460.41 = 9,658.53 : x
  2. Step 2: Convert to fraction form
    17,724.93/24,460.41 = 9,658.53/x
  3. Step 3: Cross multiply
    17,724.93x = 24,460.41 × 9,658.53
  4. Step 4: Simplify right side
    17,724.93x = 236,251,603.80
  5. Step 5: Solve for x
    x = 236,251,603.80/17,724.93
  6. Step 6: Final answer
    x = 13,328.77

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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.