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Finding the Fourth Proportional to 14,862.33, 20,509.88 and 8,147.84

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Solution

The fourth proportional to 14,862.33, 20,509.88 and 8,147.84 is: 11,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.33 : 20,509.88 = 8,147.84 : x
  2. Step 2: Convert to fraction form
    14,862.33/20,509.88 = 8,147.84/x
  3. Step 3: Cross multiply
    14,862.33x = 20,509.88 × 8,147.84
  4. Step 4: Simplify right side
    14,862.33x = 167,111,138.48
  5. Step 5: Solve for x
    x = 167,111,138.48/14,862.33
  6. Step 6: Final answer
    x = 11,243.94

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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.