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Finding the Fourth Proportional to 13,752.18, 18,977.69 and 7,783.90

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Solution

The fourth proportional to 13,752.18, 18,977.69 and 7,783.90 is: 10,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.18 : 18,977.69 = 7,783.90 : x
  2. Step 2: Convert to fraction form
    13,752.18/18,977.69 = 7,783.90/x
  3. Step 3: Cross multiply
    13,752.18x = 18,977.69 × 7,783.90
  4. Step 4: Simplify right side
    13,752.18x = 147,720,413.21
  5. Step 5: Solve for x
    x = 147,720,413.21/13,752.18
  6. Step 6: Final answer
    x = 10,741.60

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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.