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Finding the Fourth Proportional to 24,710.16, 37,065.24 and 8,305.68

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Solution

The fourth proportional to 24,710.16, 37,065.24 and 8,305.68 is: 12,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710.16 : 37,065.24 = 8,305.68 : x
  2. Step 2: Convert to fraction form
    24,710.16/37,065.24 = 8,305.68/x
  3. Step 3: Cross multiply
    24,710.16x = 37,065.24 × 8,305.68
  4. Step 4: Simplify right side
    24,710.16x = 307,852,022.56
  5. Step 5: Solve for x
    x = 307,852,022.56/24,710.16
  6. Step 6: Final answer
    x = 12,458.52

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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.