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Finding the Fourth Proportional to 14,783.10, 22,174.64 and 9,862.34

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Solution

The fourth proportional to 14,783.10, 22,174.64 and 9,862.34 is: 14,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.10 : 22,174.64 = 9,862.34 : x
  2. Step 2: Convert to fraction form
    14,783.10/22,174.64 = 9,862.34/x
  3. Step 3: Cross multiply
    14,783.10x = 22,174.64 × 9,862.34
  4. Step 4: Simplify right side
    14,783.10x = 218,693,839.06
  5. Step 5: Solve for x
    x = 218,693,839.06/14,783.10
  6. Step 6: Final answer
    x = 14,793.50

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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.