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Finding the Fourth Proportional to 13,445.82, 18,557.67 and 7,779.90

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Solution

The fourth proportional to 13,445.82, 18,557.67 and 7,779.90 is: 10,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,445.82 : 18,557.67 = 7,779.90 : x
  2. Step 2: Convert to fraction form
    13,445.82/18,557.67 = 7,779.90/x
  3. Step 3: Cross multiply
    13,445.82x = 18,557.67 × 7,779.90
  4. Step 4: Simplify right side
    13,445.82x = 144,376,816.83
  5. Step 5: Solve for x
    x = 144,376,816.83/13,445.82
  6. Step 6: Final answer
    x = 10,737.67

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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.