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Finding the Fourth Proportional to 20,232.59, 30,364.47 and 13,210.70

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Solution

The fourth proportional to 20,232.59, 30,364.47 and 13,210.70 is: 19,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.59 : 30,364.47 = 13,210.70 : x
  2. Step 2: Convert to fraction form
    20,232.59/30,364.47 = 13,210.70/x
  3. Step 3: Cross multiply
    20,232.59x = 30,364.47 × 13,210.70
  4. Step 4: Simplify right side
    20,232.59x = 401,135,752.01
  5. Step 5: Solve for x
    x = 401,135,752.01/20,232.59
  6. Step 6: Final answer
    x = 19,826.22

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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.