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Finding the Fourth Proportional to 16,192.68, 22,347.04 and 9,023.06

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Solution

The fourth proportional to 16,192.68, 22,347.04 and 9,023.06 is: 12,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.68 : 22,347.04 = 9,023.06 : x
  2. Step 2: Convert to fraction form
    16,192.68/22,347.04 = 9,023.06/x
  3. Step 3: Cross multiply
    16,192.68x = 22,347.04 × 9,023.06
  4. Step 4: Simplify right side
    16,192.68x = 201,638,682.74
  5. Step 5: Solve for x
    x = 201,638,682.74/16,192.68
  6. Step 6: Final answer
    x = 12,452.46

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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.