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Finding the Fourth Proportional to 13,501, 20,250.64 and 5,065.84

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Solution

The fourth proportional to 13,501, 20,250.64 and 5,065.84 is: 7,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501 : 20,250.64 = 5,065.84 : x
  2. Step 2: Convert to fraction form
    13,501/20,250.64 = 5,065.84/x
  3. Step 3: Cross multiply
    13,501x = 20,250.64 × 5,065.84
  4. Step 4: Simplify right side
    13,501x = 102,586,502.14
  5. Step 5: Solve for x
    x = 102,586,502.14/13,501
  6. Step 6: Final answer
    x = 7,598.44

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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.