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Finding the Fourth Proportional to 28,222.69, 42,336.16 and 9,502.78

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Solution

The fourth proportional to 28,222.69, 42,336.16 and 9,502.78 is: 14,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,222.69 : 42,336.16 = 9,502.78 : x
  2. Step 2: Convert to fraction form
    28,222.69/42,336.16 = 9,502.78/x
  3. Step 3: Cross multiply
    28,222.69x = 42,336.16 × 9,502.78
  4. Step 4: Simplify right side
    28,222.69x = 402,311,238.28
  5. Step 5: Solve for x
    x = 402,311,238.28/28,222.69
  6. Step 6: Final answer
    x = 14,254.89

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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.