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Finding the Fourth Proportional to 16,287.61, 24,435 and 9,270.93

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Solution

The fourth proportional to 16,287.61, 24,435 and 9,270.93 is: 13,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.61 : 24,435 = 9,270.93 : x
  2. Step 2: Convert to fraction form
    16,287.61/24,435 = 9,270.93/x
  3. Step 3: Cross multiply
    16,287.61x = 24,435 × 9,270.93
  4. Step 4: Simplify right side
    16,287.61x = 226,535,174.55
  5. Step 5: Solve for x
    x = 226,535,174.55/16,287.61
  6. Step 6: Final answer
    x = 13,908.44

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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.