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Finding the Fourth Proportional to 16,402.16, 22,635.96 and 12,416.96

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Solution

The fourth proportional to 16,402.16, 22,635.96 and 12,416.96 is: 17,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.16 : 22,635.96 = 12,416.96 : x
  2. Step 2: Convert to fraction form
    16,402.16/22,635.96 = 12,416.96/x
  3. Step 3: Cross multiply
    16,402.16x = 22,635.96 × 12,416.96
  4. Step 4: Simplify right side
    16,402.16x = 281,069,809.88
  5. Step 5: Solve for x
    x = 281,069,809.88/16,402.16
  6. Step 6: Final answer
    x = 17,136.15

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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.