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Finding the Fourth Proportional to 22,064.24, 33,077.76 and 9,574.86

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Solution

The fourth proportional to 22,064.24, 33,077.76 and 9,574.86 is: 14,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,064.24 : 33,077.76 = 9,574.86 : x
  2. Step 2: Convert to fraction form
    22,064.24/33,077.76 = 9,574.86/x
  3. Step 3: Cross multiply
    22,064.24x = 33,077.76 × 9,574.86
  4. Step 4: Simplify right side
    22,064.24x = 316,714,870.31
  5. Step 5: Solve for x
    x = 316,714,870.31/22,064.24
  6. Step 6: Final answer
    x = 14,354.21

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