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Finding the Fourth Proportional to 11,561.94, 15,921.36 and 9,670.19

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Solution

The fourth proportional to 11,561.94, 15,921.36 and 9,670.19 is: 13,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.94 : 15,921.36 = 9,670.19 : x
  2. Step 2: Convert to fraction form
    11,561.94/15,921.36 = 9,670.19/x
  3. Step 3: Cross multiply
    11,561.94x = 15,921.36 × 9,670.19
  4. Step 4: Simplify right side
    11,561.94x = 153,962,496.65
  5. Step 5: Solve for x
    x = 153,962,496.65/11,561.94
  6. Step 6: Final answer
    x = 13,316.32

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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.