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Finding the Fourth Proportional to 16,193.60, 24,296.16 and 6,966.08

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Solution

The fourth proportional to 16,193.60, 24,296.16 and 6,966.08 is: 10,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.60 : 24,296.16 = 6,966.08 : x
  2. Step 2: Convert to fraction form
    16,193.60/24,296.16 = 6,966.08/x
  3. Step 3: Cross multiply
    16,193.60x = 24,296.16 × 6,966.08
  4. Step 4: Simplify right side
    16,193.60x = 169,248,994.25
  5. Step 5: Solve for x
    x = 169,248,994.25/16,193.60
  6. Step 6: Final answer
    x = 10,451.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.