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Finding the Fourth Proportional to 35,177.64, 52,766.02 and 14,127

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Solution

The fourth proportional to 35,177.64, 52,766.02 and 14,127 is: 21,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,177.64 : 52,766.02 = 14,127 : x
  2. Step 2: Convert to fraction form
    35,177.64/52,766.02 = 14,127/x
  3. Step 3: Cross multiply
    35,177.64x = 52,766.02 × 14,127
  4. Step 4: Simplify right side
    35,177.64x = 745,425,564.54
  5. Step 5: Solve for x
    x = 745,425,564.54/35,177.64
  6. Step 6: Final answer
    x = 21,190.32

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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.