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Finding the Fourth Proportional to 23,728.71, 35,581.05 and 7,928.10

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Solution

The fourth proportional to 23,728.71, 35,581.05 and 7,928.10 is: 11,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.71 : 35,581.05 = 7,928.10 : x
  2. Step 2: Convert to fraction form
    23,728.71/35,581.05 = 7,928.10/x
  3. Step 3: Cross multiply
    23,728.71x = 35,581.05 × 7,928.10
  4. Step 4: Simplify right side
    23,728.71x = 282,090,122.51
  5. Step 5: Solve for x
    x = 282,090,122.51/23,728.71
  6. Step 6: Final answer
    x = 11,888.14

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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.