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Finding the Fourth Proportional to 21,403.80, 32,105.70 and 13,109.40

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Solution

The fourth proportional to 21,403.80, 32,105.70 and 13,109.40 is: 19,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.80 : 32,105.70 = 13,109.40 : x
  2. Step 2: Convert to fraction form
    21,403.80/32,105.70 = 13,109.40/x
  3. Step 3: Cross multiply
    21,403.80x = 32,105.70 × 13,109.40
  4. Step 4: Simplify right side
    21,403.80x = 420,886,463.58
  5. Step 5: Solve for x
    x = 420,886,463.58/21,403.80
  6. Step 6: Final answer
    x = 19,664.10

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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.