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Finding the Fourth Proportional to 13,608.32, 18,779.16 and 7,640.24

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Solution

The fourth proportional to 13,608.32, 18,779.16 and 7,640.24 is: 10,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.32 : 18,779.16 = 7,640.24 : x
  2. Step 2: Convert to fraction form
    13,608.32/18,779.16 = 7,640.24/x
  3. Step 3: Cross multiply
    13,608.32x = 18,779.16 × 7,640.24
  4. Step 4: Simplify right side
    13,608.32x = 143,477,289.40
  5. Step 5: Solve for x
    x = 143,477,289.40/13,608.32
  6. Step 6: Final answer
    x = 10,543.35

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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.