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Finding the Fourth Proportional to 16,357.76, 24,504.96 and 9,789.12

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Solution

The fourth proportional to 16,357.76, 24,504.96 and 9,789.12 is: 14,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.76 : 24,504.96 = 9,789.12 : x
  2. Step 2: Convert to fraction form
    16,357.76/24,504.96 = 9,789.12/x
  3. Step 3: Cross multiply
    16,357.76x = 24,504.96 × 9,789.12
  4. Step 4: Simplify right side
    16,357.76x = 239,881,994.04
  5. Step 5: Solve for x
    x = 239,881,994.04/16,357.76
  6. Step 6: Final answer
    x = 14,664.72

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1.5x scale

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.