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Finding the Fourth Proportional to 19,707.16, 29,564.88 and 6,560.56

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Solution

The fourth proportional to 19,707.16, 29,564.88 and 6,560.56 is: 9,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.16 : 29,564.88 = 6,560.56 : x
  2. Step 2: Convert to fraction form
    19,707.16/29,564.88 = 6,560.56/x
  3. Step 3: Cross multiply
    19,707.16x = 29,564.88 × 6,560.56
  4. Step 4: Simplify right side
    19,707.16x = 193,962,169.13
  5. Step 5: Solve for x
    x = 193,962,169.13/19,707.16
  6. Step 6: Final answer
    x = 9,842.22

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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.