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Finding the Fourth Proportional to 19,571.16, 29,366.88 and 9,710.24

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Solution

The fourth proportional to 19,571.16, 29,366.88 and 9,710.24 is: 14,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571.16 : 29,366.88 = 9,710.24 : x
  2. Step 2: Convert to fraction form
    19,571.16/29,366.88 = 9,710.24/x
  3. Step 3: Cross multiply
    19,571.16x = 29,366.88 × 9,710.24
  4. Step 4: Simplify right side
    19,571.16x = 285,159,452.85
  5. Step 5: Solve for x
    x = 285,159,452.85/19,571.16
  6. Step 6: Final answer
    x = 14,570.39

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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.