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Finding the Fourth Proportional to 17,430.80, 26,157 and 7,042.64

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Solution

The fourth proportional to 17,430.80, 26,157 and 7,042.64 is: 10,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.80 : 26,157 = 7,042.64 : x
  2. Step 2: Convert to fraction form
    17,430.80/26,157 = 7,042.64/x
  3. Step 3: Cross multiply
    17,430.80x = 26,157 × 7,042.64
  4. Step 4: Simplify right side
    17,430.80x = 184,214,334.48
  5. Step 5: Solve for x
    x = 184,214,334.48/17,430.80
  6. Step 6: Final answer
    x = 10,568.32

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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.