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Finding the Fourth Proportional to 18,505.66, 27,748.49 and 9,598.91

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Solution

The fourth proportional to 18,505.66, 27,748.49 and 9,598.91 is: 14,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505.66 : 27,748.49 = 9,598.91 : x
  2. Step 2: Convert to fraction form
    18,505.66/27,748.49 = 9,598.91/x
  3. Step 3: Cross multiply
    18,505.66x = 27,748.49 × 9,598.91
  4. Step 4: Simplify right side
    18,505.66x = 266,355,281.49
  5. Step 5: Solve for x
    x = 266,355,281.49/18,505.66
  6. Step 6: Final answer
    x = 14,393.18

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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.