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Finding the Fourth Proportional to 14,254.50, 21,385.05 and 5,020.50

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Solution

The fourth proportional to 14,254.50, 21,385.05 and 5,020.50 is: 7,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.50 : 21,385.05 = 5,020.50 : x
  2. Step 2: Convert to fraction form
    14,254.50/21,385.05 = 5,020.50/x
  3. Step 3: Cross multiply
    14,254.50x = 21,385.05 × 5,020.50
  4. Step 4: Simplify right side
    14,254.50x = 107,363,643.53
  5. Step 5: Solve for x
    x = 107,363,643.53/14,254.50
  6. Step 6: Final answer
    x = 7,531.91

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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.