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Finding the Fourth Proportional to 16,823.90, 25,190.69 and 9,407.22

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Solution

The fourth proportional to 16,823.90, 25,190.69 and 9,407.22 is: 14,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.90 : 25,190.69 = 9,407.22 : x
  2. Step 2: Convert to fraction form
    16,823.90/25,190.69 = 9,407.22/x
  3. Step 3: Cross multiply
    16,823.90x = 25,190.69 × 9,407.22
  4. Step 4: Simplify right side
    16,823.90x = 236,974,315.75
  5. Step 5: Solve for x
    x = 236,974,315.75/16,823.90
  6. Step 6: Final answer
    x = 14,085.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.