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Finding the Fourth Proportional to 28,239.50, 42,359.25 and 9,771.50

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Solution

The fourth proportional to 28,239.50, 42,359.25 and 9,771.50 is: 14,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,239.50 : 42,359.25 = 9,771.50 : x
  2. Step 2: Convert to fraction form
    28,239.50/42,359.25 = 9,771.50/x
  3. Step 3: Cross multiply
    28,239.50x = 42,359.25 × 9,771.50
  4. Step 4: Simplify right side
    28,239.50x = 413,913,411.38
  5. Step 5: Solve for x
    x = 413,913,411.38/28,239.50
  6. Step 6: Final answer
    x = 14,657.25

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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.