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Finding the Fourth Proportional to 16,386.31, 22,615.03 and 9,313.80

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Solution

The fourth proportional to 16,386.31, 22,615.03 and 9,313.80 is: 12,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.31 : 22,615.03 = 9,313.80 : x
  2. Step 2: Convert to fraction form
    16,386.31/22,615.03 = 9,313.80/x
  3. Step 3: Cross multiply
    16,386.31x = 22,615.03 × 9,313.80
  4. Step 4: Simplify right side
    16,386.31x = 210,631,866.41
  5. Step 5: Solve for x
    x = 210,631,866.41/16,386.31
  6. Step 6: Final answer
    x = 12,854.14

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1.5x scale

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.