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Finding the Fourth Proportional to 20,098.53, 30,152.86 and 11,785.50

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Solution

The fourth proportional to 20,098.53, 30,152.86 and 11,785.50 is: 17,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.53 : 30,152.86 = 11,785.50 : x
  2. Step 2: Convert to fraction form
    20,098.53/30,152.86 = 11,785.50/x
  3. Step 3: Cross multiply
    20,098.53x = 30,152.86 × 11,785.50
  4. Step 4: Simplify right side
    20,098.53x = 355,366,502.07
  5. Step 5: Solve for x
    x = 355,366,502.07/20,098.53
  6. Step 6: Final answer
    x = 17,681.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.