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Finding the Fourth Proportional to 34,713.60, 52,065.12 and 11,340.48

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Solution

The fourth proportional to 34,713.60, 52,065.12 and 11,340.48 is: 17,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713.60 : 52,065.12 = 11,340.48 : x
  2. Step 2: Convert to fraction form
    34,713.60/52,065.12 = 11,340.48/x
  3. Step 3: Cross multiply
    34,713.60x = 52,065.12 × 11,340.48
  4. Step 4: Simplify right side
    34,713.60x = 590,443,452.06
  5. Step 5: Solve for x
    x = 590,443,452.06/34,713.60
  6. Step 6: Final answer
    x = 17,009.00

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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.