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Finding the Fourth Proportional to 13,779.12, 20,666.74 and 4,542

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Solution

The fourth proportional to 13,779.12, 20,666.74 and 4,542 is: 6,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,779.12 : 20,666.74 = 4,542 : x
  2. Step 2: Convert to fraction form
    13,779.12/20,666.74 = 4,542/x
  3. Step 3: Cross multiply
    13,779.12x = 20,666.74 × 4,542
  4. Step 4: Simplify right side
    13,779.12x = 93,868,333.08
  5. Step 5: Solve for x
    x = 93,868,333.08/13,779.12
  6. Step 6: Final answer
    x = 6,812.36

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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.