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Finding the Fourth Proportional to 14,538.47, 21,813.18 and 5,779.54

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Solution

The fourth proportional to 14,538.47, 21,813.18 and 5,779.54 is: 8,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.47 : 21,813.18 = 5,779.54 : x
  2. Step 2: Convert to fraction form
    14,538.47/21,813.18 = 5,779.54/x
  3. Step 3: Cross multiply
    14,538.47x = 21,813.18 × 5,779.54
  4. Step 4: Simplify right side
    14,538.47x = 126,070,008.37
  5. Step 5: Solve for x
    x = 126,070,008.37/14,538.47
  6. Step 6: Final answer
    x = 8,671.48

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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.