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Finding the Fourth Proportional to 16,655.76, 22,985.10 and 9,581.76

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Solution

The fourth proportional to 16,655.76, 22,985.10 and 9,581.76 is: 13,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.76 : 22,985.10 = 9,581.76 : x
  2. Step 2: Convert to fraction form
    16,655.76/22,985.10 = 9,581.76/x
  3. Step 3: Cross multiply
    16,655.76x = 22,985.10 × 9,581.76
  4. Step 4: Simplify right side
    16,655.76x = 220,237,711.78
  5. Step 5: Solve for x
    x = 220,237,711.78/16,655.76
  6. Step 6: Final answer
    x = 13,222.92

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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.