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Finding the Fourth Proportional to 14,539.92, 21,813.90 and 5,182.08

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Solution

The fourth proportional to 14,539.92, 21,813.90 and 5,182.08 is: 7,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.92 : 21,813.90 = 5,182.08 : x
  2. Step 2: Convert to fraction form
    14,539.92/21,813.90 = 5,182.08/x
  3. Step 3: Cross multiply
    14,539.92x = 21,813.90 × 5,182.08
  4. Step 4: Simplify right side
    14,539.92x = 113,041,374.91
  5. Step 5: Solve for x
    x = 113,041,374.91/14,539.92
  6. Step 6: Final answer
    x = 7,774.55

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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.