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Finding the Fourth Proportional to 28,424, 42,644.16 and 9,708.32

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Solution

The fourth proportional to 28,424, 42,644.16 and 9,708.32 is: 14,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,424 : 42,644.16 = 9,708.32 : x
  2. Step 2: Convert to fraction form
    28,424/42,644.16 = 9,708.32/x
  3. Step 3: Cross multiply
    28,424x = 42,644.16 × 9,708.32
  4. Step 4: Simplify right side
    28,424x = 414,003,151.41
  5. Step 5: Solve for x
    x = 414,003,151.41/28,424
  6. Step 6: Final answer
    x = 14,565.27

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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.