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Finding the Fourth Proportional to 16,045.92, 24,068.64 and 5,657.76

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Solution

The fourth proportional to 16,045.92, 24,068.64 and 5,657.76 is: 8,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.92 : 24,068.64 = 5,657.76 : x
  2. Step 2: Convert to fraction form
    16,045.92/24,068.64 = 5,657.76/x
  3. Step 3: Cross multiply
    16,045.92x = 24,068.64 × 5,657.76
  4. Step 4: Simplify right side
    16,045.92x = 136,174,588.65
  5. Step 5: Solve for x
    x = 136,174,588.65/16,045.92
  6. Step 6: Final answer
    x = 8,486.56

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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.