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Finding the Fourth Proportional to 21,214.65, 31,666.88 and 19,672.77

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Solution

The fourth proportional to 21,214.65, 31,666.88 and 19,672.77 is: 29,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.65 : 31,666.88 = 19,672.77 : x
  2. Step 2: Convert to fraction form
    21,214.65/31,666.88 = 19,672.77/x
  3. Step 3: Cross multiply
    21,214.65x = 31,666.88 × 19,672.77
  4. Step 4: Simplify right side
    21,214.65x = 622,975,246.86
  5. Step 5: Solve for x
    x = 622,975,246.86/21,214.65
  6. Step 6: Final answer
    x = 29,365.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.