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Finding the Fourth Proportional to 35,415.59, 53,129.02 and 11,724

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Solution

The fourth proportional to 35,415.59, 53,129.02 and 11,724 is: 17,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,415.59 : 53,129.02 = 11,724 : x
  2. Step 2: Convert to fraction form
    35,415.59/53,129.02 = 11,724/x
  3. Step 3: Cross multiply
    35,415.59x = 53,129.02 × 11,724
  4. Step 4: Simplify right side
    35,415.59x = 622,884,630.48
  5. Step 5: Solve for x
    x = 622,884,630.48/35,415.59
  6. Step 6: Final answer
    x = 17,587.87

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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.