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Finding the Fourth Proportional to 19,720.40, 29,570.52 and 5,867.60

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Solution

The fourth proportional to 19,720.40, 29,570.52 and 5,867.60 is: 8,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720.40 : 29,570.52 = 5,867.60 : x
  2. Step 2: Convert to fraction form
    19,720.40/29,570.52 = 5,867.60/x
  3. Step 3: Cross multiply
    19,720.40x = 29,570.52 × 5,867.60
  4. Step 4: Simplify right side
    19,720.40x = 173,507,983.15
  5. Step 5: Solve for x
    x = 173,507,983.15/19,720.40
  6. Step 6: Final answer
    x = 8,798.40

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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.