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Finding the Fourth Proportional to 21,898.81, 30,222.59 and 13,406.54

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Solution

The fourth proportional to 21,898.81, 30,222.59 and 13,406.54 is: 18,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898.81 : 30,222.59 = 13,406.54 : x
  2. Step 2: Convert to fraction form
    21,898.81/30,222.59 = 13,406.54/x
  3. Step 3: Cross multiply
    21,898.81x = 30,222.59 × 13,406.54
  4. Step 4: Simplify right side
    21,898.81x = 405,180,341.71
  5. Step 5: Solve for x
    x = 405,180,341.71/21,898.81
  6. Step 6: Final answer
    x = 18,502.39

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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.