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Finding the Fourth Proportional to 16,655.28, 22,985.22 and 9,102.30

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Solution

The fourth proportional to 16,655.28, 22,985.22 and 9,102.30 is: 12,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.28 : 22,985.22 = 9,102.30 : x
  2. Step 2: Convert to fraction form
    16,655.28/22,985.22 = 9,102.30/x
  3. Step 3: Cross multiply
    16,655.28x = 22,985.22 × 9,102.30
  4. Step 4: Simplify right side
    16,655.28x = 209,218,368.01
  5. Step 5: Solve for x
    x = 209,218,368.01/16,655.28
  6. Step 6: Final answer
    x = 12,561.68

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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.