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Finding the Fourth Proportional to 17,677.64, 24,395.60 and 9,720.06

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Solution

The fourth proportional to 17,677.64, 24,395.60 and 9,720.06 is: 13,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.64 : 24,395.60 = 9,720.06 : x
  2. Step 2: Convert to fraction form
    17,677.64/24,395.60 = 9,720.06/x
  3. Step 3: Cross multiply
    17,677.64x = 24,395.60 × 9,720.06
  4. Step 4: Simplify right side
    17,677.64x = 237,126,695.74
  5. Step 5: Solve for x
    x = 237,126,695.74/17,677.64
  6. Step 6: Final answer
    x = 13,413.93

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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.