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Finding the Fourth Proportional to 21,929.50, 30,268.11 and 13,430.08

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Solution

The fourth proportional to 21,929.50, 30,268.11 and 13,430.08 is: 18,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929.50 : 30,268.11 = 13,430.08 : x
  2. Step 2: Convert to fraction form
    21,929.50/30,268.11 = 13,430.08/x
  3. Step 3: Cross multiply
    21,929.50x = 30,268.11 × 13,430.08
  4. Step 4: Simplify right side
    21,929.50x = 406,503,138.75
  5. Step 5: Solve for x
    x = 406,503,138.75/21,929.50
  6. Step 6: Final answer
    x = 18,536.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.