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Finding the Fourth Proportional to 14,061.84, 19,406.16 and 7,774.80

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Solution

The fourth proportional to 14,061.84, 19,406.16 and 7,774.80 is: 10,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,061.84 : 19,406.16 = 7,774.80 : x
  2. Step 2: Convert to fraction form
    14,061.84/19,406.16 = 7,774.80/x
  3. Step 3: Cross multiply
    14,061.84x = 19,406.16 × 7,774.80
  4. Step 4: Simplify right side
    14,061.84x = 150,879,012.77
  5. Step 5: Solve for x
    x = 150,879,012.77/14,061.84
  6. Step 6: Final answer
    x = 10,729.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.