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Finding the Fourth Proportional to 16,386.50, 22,615.29 and 9,313.99

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Solution

The fourth proportional to 16,386.50, 22,615.29 and 9,313.99 is: 12,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.50 : 22,615.29 = 9,313.99 : x
  2. Step 2: Convert to fraction form
    16,386.50/22,615.29 = 9,313.99/x
  3. Step 3: Cross multiply
    16,386.50x = 22,615.29 × 9,313.99
  4. Step 4: Simplify right side
    16,386.50x = 210,638,471.83
  5. Step 5: Solve for x
    x = 210,638,471.83/16,386.50
  6. Step 6: Final answer
    x = 12,854.39

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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.