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Finding the Fourth Proportional to 28,231.98, 42,332.82 and 9,505.77

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Solution

The fourth proportional to 28,231.98, 42,332.82 and 9,505.77 is: 14,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,231.98 : 42,332.82 = 9,505.77 : x
  2. Step 2: Convert to fraction form
    28,231.98/42,332.82 = 9,505.77/x
  3. Step 3: Cross multiply
    28,231.98x = 42,332.82 × 9,505.77
  4. Step 4: Simplify right side
    28,231.98x = 402,406,050.37
  5. Step 5: Solve for x
    x = 402,406,050.37/28,231.98
  6. Step 6: Final answer
    x = 14,253.55

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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.