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Finding the Fourth Proportional to 20,506.93, 30,762.09 and 5,715.99

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Solution

The fourth proportional to 20,506.93, 30,762.09 and 5,715.99 is: 8,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.93 : 30,762.09 = 5,715.99 : x
  2. Step 2: Convert to fraction form
    20,506.93/30,762.09 = 5,715.99/x
  3. Step 3: Cross multiply
    20,506.93x = 30,762.09 × 5,715.99
  4. Step 4: Simplify right side
    20,506.93x = 175,835,798.82
  5. Step 5: Solve for x
    x = 175,835,798.82/20,506.93
  6. Step 6: Final answer
    x = 8,574.46

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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.