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Finding the Fourth Proportional to 26,430.59, 39,642.03 and 7,705.60

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Solution

The fourth proportional to 26,430.59, 39,642.03 and 7,705.60 is: 11,557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,430.59 : 39,642.03 = 7,705.60 : x
  2. Step 2: Convert to fraction form
    26,430.59/39,642.03 = 7,705.60/x
  3. Step 3: Cross multiply
    26,430.59x = 39,642.03 × 7,705.60
  4. Step 4: Simplify right side
    26,430.59x = 305,465,527.26
  5. Step 5: Solve for x
    x = 305,465,527.26/26,430.59
  6. Step 6: Final answer
    x = 11,557.27

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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.