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Finding the Fourth Proportional to 14,773.84, 22,170 and 7,658.80

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Solution

The fourth proportional to 14,773.84, 22,170 and 7,658.80 is: 11,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.84 : 22,170 = 7,658.80 : x
  2. Step 2: Convert to fraction form
    14,773.84/22,170 = 7,658.80/x
  3. Step 3: Cross multiply
    14,773.84x = 22,170 × 7,658.80
  4. Step 4: Simplify right side
    14,773.84x = 169,795,596
  5. Step 5: Solve for x
    x = 169,795,596/14,773.84
  6. Step 6: Final answer
    x = 11,492.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.