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Finding the Fourth Proportional to 19,561.40, 29,319.96 and 9,707.48

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Solution

The fourth proportional to 19,561.40, 29,319.96 and 9,707.48 is: 14,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.40 : 29,319.96 = 9,707.48 : x
  2. Step 2: Convert to fraction form
    19,561.40/29,319.96 = 9,707.48/x
  3. Step 3: Cross multiply
    19,561.40x = 29,319.96 × 9,707.48
  4. Step 4: Simplify right side
    19,561.40x = 284,622,925.30
  5. Step 5: Solve for x
    x = 284,622,925.30/19,561.40
  6. Step 6: Final answer
    x = 14,550.23

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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.