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Finding the Fourth Proportional to 28,239.64, 42,350.18 and 9,514.63

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Solution

The fourth proportional to 28,239.64, 42,350.18 and 9,514.63 is: 14,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,239.64 : 42,350.18 = 9,514.63 : x
  2. Step 2: Convert to fraction form
    28,239.64/42,350.18 = 9,514.63/x
  3. Step 3: Cross multiply
    28,239.64x = 42,350.18 × 9,514.63
  4. Step 4: Simplify right side
    28,239.64x = 402,946,298.50
  5. Step 5: Solve for x
    x = 402,946,298.50/28,239.64
  6. Step 6: Final answer
    x = 14,268.82

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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.