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Finding the Fourth Proportional to 17,764.95, 24,515.91 and 9,807.24

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Solution

The fourth proportional to 17,764.95, 24,515.91 and 9,807.24 is: 13,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.95 : 24,515.91 = 9,807.24 : x
  2. Step 2: Convert to fraction form
    17,764.95/24,515.91 = 9,807.24/x
  3. Step 3: Cross multiply
    17,764.95x = 24,515.91 × 9,807.24
  4. Step 4: Simplify right side
    17,764.95x = 240,433,413.19
  5. Step 5: Solve for x
    x = 240,433,413.19/17,764.95
  6. Step 6: Final answer
    x = 13,534.15

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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.