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Finding the Fourth Proportional to 14,860.14, 22,246.98 and 7,823.52

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Solution

The fourth proportional to 14,860.14, 22,246.98 and 7,823.52 is: 11,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,860.14 : 22,246.98 = 7,823.52 : x
  2. Step 2: Convert to fraction form
    14,860.14/22,246.98 = 7,823.52/x
  3. Step 3: Cross multiply
    14,860.14x = 22,246.98 × 7,823.52
  4. Step 4: Simplify right side
    14,860.14x = 174,049,692.97
  5. Step 5: Solve for x
    x = 174,049,692.97/14,860.14
  6. Step 6: Final answer
    x = 11,712.52

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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.