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Finding the Fourth Proportional to 14,566.16, 21,847.08 and 5,330

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Solution

The fourth proportional to 14,566.16, 21,847.08 and 5,330 is: 7,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.16 : 21,847.08 = 5,330 : x
  2. Step 2: Convert to fraction form
    14,566.16/21,847.08 = 5,330/x
  3. Step 3: Cross multiply
    14,566.16x = 21,847.08 × 5,330
  4. Step 4: Simplify right side
    14,566.16x = 116,444,936.40
  5. Step 5: Solve for x
    x = 116,444,936.40/14,566.16
  6. Step 6: Final answer
    x = 7,994.21

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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.