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Finding the Fourth Proportional to 28,026.24, 42,039.28 and 9,307.68

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Solution

The fourth proportional to 28,026.24, 42,039.28 and 9,307.68 is: 13,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,026.24 : 42,039.28 = 9,307.68 : x
  2. Step 2: Convert to fraction form
    28,026.24/42,039.28 = 9,307.68/x
  3. Step 3: Cross multiply
    28,026.24x = 42,039.28 × 9,307.68
  4. Step 4: Simplify right side
    28,026.24x = 391,288,165.67
  5. Step 5: Solve for x
    x = 391,288,165.67/28,026.24
  6. Step 6: Final answer
    x = 13,961.49

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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.