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Finding the Fourth Proportional to 14,548.92, 21,827.40 and 5,191.08

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Solution

The fourth proportional to 14,548.92, 21,827.40 and 5,191.08 is: 7,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.92 : 21,827.40 = 5,191.08 : x
  2. Step 2: Convert to fraction form
    14,548.92/21,827.40 = 5,191.08/x
  3. Step 3: Cross multiply
    14,548.92x = 21,827.40 × 5,191.08
  4. Step 4: Simplify right side
    14,548.92x = 113,307,779.59
  5. Step 5: Solve for x
    x = 113,307,779.59/14,548.92
  6. Step 6: Final answer
    x = 7,788.05

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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.