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Finding the Fourth Proportional to 28,498.50, 42,748.62 and 9,778.27

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Solution

The fourth proportional to 28,498.50, 42,748.62 and 9,778.27 is: 14,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,498.50 : 42,748.62 = 9,778.27 : x
  2. Step 2: Convert to fraction form
    28,498.50/42,748.62 = 9,778.27/x
  3. Step 3: Cross multiply
    28,498.50x = 42,748.62 × 9,778.27
  4. Step 4: Simplify right side
    28,498.50x = 418,007,548.49
  5. Step 5: Solve for x
    x = 418,007,548.49/28,498.50
  6. Step 6: Final answer
    x = 14,667.70

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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.