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Finding the Fourth Proportional to 21,506.58, 29,678.07 and 11,947.08

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Solution

The fourth proportional to 21,506.58, 29,678.07 and 11,947.08 is: 16,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.58 : 29,678.07 = 11,947.08 : x
  2. Step 2: Convert to fraction form
    21,506.58/29,678.07 = 11,947.08/x
  3. Step 3: Cross multiply
    21,506.58x = 29,678.07 × 11,947.08
  4. Step 4: Simplify right side
    21,506.58x = 354,566,387.83
  5. Step 5: Solve for x
    x = 354,566,387.83/21,506.58
  6. Step 6: Final answer
    x = 16,486.42

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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.