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Finding the Fourth Proportional to 20,901.40, 31,352.10 and 7,752.40

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Solution

The fourth proportional to 20,901.40, 31,352.10 and 7,752.40 is: 11,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.40 : 31,352.10 = 7,752.40 : x
  2. Step 2: Convert to fraction form
    20,901.40/31,352.10 = 7,752.40/x
  3. Step 3: Cross multiply
    20,901.40x = 31,352.10 × 7,752.40
  4. Step 4: Simplify right side
    20,901.40x = 243,054,020.04
  5. Step 5: Solve for x
    x = 243,054,020.04/20,901.40
  6. Step 6: Final answer
    x = 11,628.60

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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.