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Finding the Fourth Proportional to 14,102.78, 21,133.38 and 7,854.19

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Solution

The fourth proportional to 14,102.78, 21,133.38 and 7,854.19 is: 11,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.78 : 21,133.38 = 7,854.19 : x
  2. Step 2: Convert to fraction form
    14,102.78/21,133.38 = 7,854.19/x
  3. Step 3: Cross multiply
    14,102.78x = 21,133.38 × 7,854.19
  4. Step 4: Simplify right side
    14,102.78x = 165,985,595.83
  5. Step 5: Solve for x
    x = 165,985,595.83/14,102.78
  6. Step 6: Final answer
    x = 11,769.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.