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Finding the Fourth Proportional to 19,571.16, 29,356.40 and 7,884.08

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Solution

The fourth proportional to 19,571.16, 29,356.40 and 7,884.08 is: 11,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571.16 : 29,356.40 = 7,884.08 : x
  2. Step 2: Convert to fraction form
    19,571.16/29,356.40 = 7,884.08/x
  3. Step 3: Cross multiply
    19,571.16x = 29,356.40 × 7,884.08
  4. Step 4: Simplify right side
    19,571.16x = 231,448,206.11
  5. Step 5: Solve for x
    x = 231,448,206.11/19,571.16
  6. Step 6: Final answer
    x = 11,825.98

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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.