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Finding the Fourth Proportional to 13,416.01, 18,510.31 and 8,385.33

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Solution

The fourth proportional to 13,416.01, 18,510.31 and 8,385.33 is: 11,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.01 : 18,510.31 = 8,385.33 : x
  2. Step 2: Convert to fraction form
    13,416.01/18,510.31 = 8,385.33/x
  3. Step 3: Cross multiply
    13,416.01x = 18,510.31 × 8,385.33
  4. Step 4: Simplify right side
    13,416.01x = 155,215,036.79
  5. Step 5: Solve for x
    x = 155,215,036.79/13,416.01
  6. Step 6: Final answer
    x = 11,569.39

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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.