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Finding the Fourth Proportional to 20,598.52, 30,900.18 and 7,457.08

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Solution

The fourth proportional to 20,598.52, 30,900.18 and 7,457.08 is: 11,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.52 : 30,900.18 = 7,457.08 : x
  2. Step 2: Convert to fraction form
    20,598.52/30,900.18 = 7,457.08/x
  3. Step 3: Cross multiply
    20,598.52x = 30,900.18 × 7,457.08
  4. Step 4: Simplify right side
    20,598.52x = 230,425,114.27
  5. Step 5: Solve for x
    x = 230,425,114.27/20,598.52
  6. Step 6: Final answer
    x = 11,186.49

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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.