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Finding the Fourth Proportional to 16,503.84, 22,773.87 and 9,697.14

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Solution

The fourth proportional to 16,503.84, 22,773.87 and 9,697.14 is: 13,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.84 : 22,773.87 = 9,697.14 : x
  2. Step 2: Convert to fraction form
    16,503.84/22,773.87 = 9,697.14/x
  3. Step 3: Cross multiply
    16,503.84x = 22,773.87 × 9,697.14
  4. Step 4: Simplify right side
    16,503.84x = 220,841,405.73
  5. Step 5: Solve for x
    x = 220,841,405.73/16,503.84
  6. Step 6: Final answer
    x = 13,381.21

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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.