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Finding the Fourth Proportional to 13,315.30, 19,970.11 and 3,952.78

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Solution

The fourth proportional to 13,315.30, 19,970.11 and 3,952.78 is: 5,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315.30 : 19,970.11 = 3,952.78 : x
  2. Step 2: Convert to fraction form
    13,315.30/19,970.11 = 3,952.78/x
  3. Step 3: Cross multiply
    13,315.30x = 19,970.11 × 3,952.78
  4. Step 4: Simplify right side
    13,315.30x = 78,937,406.42
  5. Step 5: Solve for x
    x = 78,937,406.42/13,315.30
  6. Step 6: Final answer
    x = 5,928.32

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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.