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Finding the Fourth Proportional to 13,225.14, 19,838.12 and 6,651.59

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Solution

The fourth proportional to 13,225.14, 19,838.12 and 6,651.59 is: 9,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.14 : 19,838.12 = 6,651.59 : x
  2. Step 2: Convert to fraction form
    13,225.14/19,838.12 = 6,651.59/x
  3. Step 3: Cross multiply
    13,225.14x = 19,838.12 × 6,651.59
  4. Step 4: Simplify right side
    13,225.14x = 131,955,040.61
  5. Step 5: Solve for x
    x = 131,955,040.61/13,225.14
  6. Step 6: Final answer
    x = 9,977.59

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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.