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Finding the Fourth Proportional to 39,216.16, 58,817.92 and 14,255.20

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Solution

The fourth proportional to 39,216.16, 58,817.92 and 14,255.20 is: 21,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,216.16 : 58,817.92 = 14,255.20 : x
  2. Step 2: Convert to fraction form
    39,216.16/58,817.92 = 14,255.20/x
  3. Step 3: Cross multiply
    39,216.16x = 58,817.92 × 14,255.20
  4. Step 4: Simplify right side
    39,216.16x = 838,461,213.18
  5. Step 5: Solve for x
    x = 838,461,213.18/39,216.16
  6. Step 6: Final answer
    x = 21,380.50

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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.