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Finding the Fourth Proportional to 29,406.64, 44,116.56 and 9,684.40

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Solution

The fourth proportional to 29,406.64, 44,116.56 and 9,684.40 is: 14,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.64 : 44,116.56 = 9,684.40 : x
  2. Step 2: Convert to fraction form
    29,406.64/44,116.56 = 9,684.40/x
  3. Step 3: Cross multiply
    29,406.64x = 44,116.56 × 9,684.40
  4. Step 4: Simplify right side
    29,406.64x = 427,242,413.66
  5. Step 5: Solve for x
    x = 427,242,413.66/29,406.64
  6. Step 6: Final answer
    x = 14,528.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.