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Finding the Fourth Proportional to 19,669.27, 29,486.06 and 9,811.57

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Solution

The fourth proportional to 19,669.27, 29,486.06 and 9,811.57 is: 14,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669.27 : 29,486.06 = 9,811.57 : x
  2. Step 2: Convert to fraction form
    19,669.27/29,486.06 = 9,811.57/x
  3. Step 3: Cross multiply
    19,669.27x = 29,486.06 × 9,811.57
  4. Step 4: Simplify right side
    19,669.27x = 289,304,345.23
  5. Step 5: Solve for x
    x = 289,304,345.23/19,669.27
  6. Step 6: Final answer
    x = 14,708.45

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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.