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Finding the Fourth Proportional to 14,800.23, 22,203.72 and 4,270.34

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Solution

The fourth proportional to 14,800.23, 22,203.72 and 4,270.34 is: 6,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800.23 : 22,203.72 = 4,270.34 : x
  2. Step 2: Convert to fraction form
    14,800.23/22,203.72 = 4,270.34/x
  3. Step 3: Cross multiply
    14,800.23x = 22,203.72 × 4,270.34
  4. Step 4: Simplify right side
    14,800.23x = 94,817,489.17
  5. Step 5: Solve for x
    x = 94,817,489.17/14,800.23
  6. Step 6: Final answer
    x = 6,406.49

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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.