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Finding the Fourth Proportional to 14,423.48, 19,904.36 and 8,135.80

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Solution

The fourth proportional to 14,423.48, 19,904.36 and 8,135.80 is: 11,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.48 : 19,904.36 = 8,135.80 : x
  2. Step 2: Convert to fraction form
    14,423.48/19,904.36 = 8,135.80/x
  3. Step 3: Cross multiply
    14,423.48x = 19,904.36 × 8,135.80
  4. Step 4: Simplify right side
    14,423.48x = 161,937,892.09
  5. Step 5: Solve for x
    x = 161,937,892.09/14,423.48
  6. Step 6: Final answer
    x = 11,227.38

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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.