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Finding the Fourth Proportional to 14,872.50, 22,316.04 and 6,114.78

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Solution

The fourth proportional to 14,872.50, 22,316.04 and 6,114.78 is: 9,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.50 : 22,316.04 = 6,114.78 : x
  2. Step 2: Convert to fraction form
    14,872.50/22,316.04 = 6,114.78/x
  3. Step 3: Cross multiply
    14,872.50x = 22,316.04 × 6,114.78
  4. Step 4: Simplify right side
    14,872.50x = 136,457,675.07
  5. Step 5: Solve for x
    x = 136,457,675.07/14,872.50
  6. Step 6: Final answer
    x = 9,175.17

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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.