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Finding the Fourth Proportional to 28,434.23, 42,658.90 and 9,714.23

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Solution

The fourth proportional to 28,434.23, 42,658.90 and 9,714.23 is: 14,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,434.23 : 42,658.90 = 9,714.23 : x
  2. Step 2: Convert to fraction form
    28,434.23/42,658.90 = 9,714.23/x
  3. Step 3: Cross multiply
    28,434.23x = 42,658.90 × 9,714.23
  4. Step 4: Simplify right side
    28,434.23x = 414,398,104.28
  5. Step 5: Solve for x
    x = 414,398,104.28/28,434.23
  6. Step 6: Final answer
    x = 14,573.92

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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.