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Finding the Fourth Proportional to 14,692, 22,023.42 and 6,886.84

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Solution

The fourth proportional to 14,692, 22,023.42 and 6,886.84 is: 10,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692 : 22,023.42 = 6,886.84 : x
  2. Step 2: Convert to fraction form
    14,692/22,023.42 = 6,886.84/x
  3. Step 3: Cross multiply
    14,692x = 22,023.42 × 6,886.84
  4. Step 4: Simplify right side
    14,692x = 151,671,769.79
  5. Step 5: Solve for x
    x = 151,671,769.79/14,692
  6. Step 6: Final answer
    x = 10,323.43

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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.