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Finding the Fourth Proportional to 16,193.84, 22,345.94 and 9,023.45

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Solution

The fourth proportional to 16,193.84, 22,345.94 and 9,023.45 is: 12,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.84 : 22,345.94 = 9,023.45 : x
  2. Step 2: Convert to fraction form
    16,193.84/22,345.94 = 9,023.45/x
  3. Step 3: Cross multiply
    16,193.84x = 22,345.94 × 9,023.45
  4. Step 4: Simplify right side
    16,193.84x = 201,637,383.12
  5. Step 5: Solve for x
    x = 201,637,383.12/16,193.84
  6. Step 6: Final answer
    x = 12,451.49

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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.