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Finding the Fourth Proportional to 20,535.84, 30,803.78 and 4,953.47

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Solution

The fourth proportional to 20,535.84, 30,803.78 and 4,953.47 is: 7,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.84 : 30,803.78 = 4,953.47 : x
  2. Step 2: Convert to fraction form
    20,535.84/30,803.78 = 4,953.47/x
  3. Step 3: Cross multiply
    20,535.84x = 30,803.78 × 4,953.47
  4. Step 4: Simplify right side
    20,535.84x = 152,585,458.48
  5. Step 5: Solve for x
    x = 152,585,458.48/20,535.84
  6. Step 6: Final answer
    x = 7,430.20

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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.