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Finding the Fourth Proportional to 14,961.84, 20,642.27 and 9,294.56

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Solution

The fourth proportional to 14,961.84, 20,642.27 and 9,294.56 is: 12,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,961.84 : 20,642.27 = 9,294.56 : x
  2. Step 2: Convert to fraction form
    14,961.84/20,642.27 = 9,294.56/x
  3. Step 3: Cross multiply
    14,961.84x = 20,642.27 × 9,294.56
  4. Step 4: Simplify right side
    14,961.84x = 191,860,817.05
  5. Step 5: Solve for x
    x = 191,860,817.05/14,961.84
  6. Step 6: Final answer
    x = 12,823.34

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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.