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Finding the Fourth Proportional to 14,677.84, 22,018.22 and 4,817.16

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Solution

The fourth proportional to 14,677.84, 22,018.22 and 4,817.16 is: 7,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.84 : 22,018.22 = 4,817.16 : x
  2. Step 2: Convert to fraction form
    14,677.84/22,018.22 = 4,817.16/x
  3. Step 3: Cross multiply
    14,677.84x = 22,018.22 × 4,817.16
  4. Step 4: Simplify right side
    14,677.84x = 106,065,288.66
  5. Step 5: Solve for x
    x = 106,065,288.66/14,677.84
  6. Step 6: Final answer
    x = 7,226.22

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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.