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Finding the Fourth Proportional to 16,523.58, 22,795.92 and 9,448.50

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Solution

The fourth proportional to 16,523.58, 22,795.92 and 9,448.50 is: 13,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.58 : 22,795.92 = 9,448.50 : x
  2. Step 2: Convert to fraction form
    16,523.58/22,795.92 = 9,448.50/x
  3. Step 3: Cross multiply
    16,523.58x = 22,795.92 × 9,448.50
  4. Step 4: Simplify right side
    16,523.58x = 215,387,250.12
  5. Step 5: Solve for x
    x = 215,387,250.12/16,523.58
  6. Step 6: Final answer
    x = 13,035.14

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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.