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Finding the Fourth Proportional to 14,697.36, 20,270.62 and 9,666.74

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Solution

The fourth proportional to 14,697.36, 20,270.62 and 9,666.74 is: 13,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.36 : 20,270.62 = 9,666.74 : x
  2. Step 2: Convert to fraction form
    14,697.36/20,270.62 = 9,666.74/x
  3. Step 3: Cross multiply
    14,697.36x = 20,270.62 × 9,666.74
  4. Step 4: Simplify right side
    14,697.36x = 195,950,813.18
  5. Step 5: Solve for x
    x = 195,950,813.18/14,697.36
  6. Step 6: Final answer
    x = 13,332.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.