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Finding the Fourth Proportional to 14,312.50, 21,469.83 and 5,078.50

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Solution

The fourth proportional to 14,312.50, 21,469.83 and 5,078.50 is: 7,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.50 : 21,469.83 = 5,078.50 : x
  2. Step 2: Convert to fraction form
    14,312.50/21,469.83 = 5,078.50/x
  3. Step 3: Cross multiply
    14,312.50x = 21,469.83 × 5,078.50
  4. Step 4: Simplify right side
    14,312.50x = 109,034,531.66
  5. Step 5: Solve for x
    x = 109,034,531.66/14,312.50
  6. Step 6: Final answer
    x = 7,618.13

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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.