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Finding the Fourth Proportional to 28,201.50, 42,308.73 and 9,733.50

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Solution

The fourth proportional to 28,201.50, 42,308.73 and 9,733.50 is: 14,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,201.50 : 42,308.73 = 9,733.50 : x
  2. Step 2: Convert to fraction form
    28,201.50/42,308.73 = 9,733.50/x
  3. Step 3: Cross multiply
    28,201.50x = 42,308.73 × 9,733.50
  4. Step 4: Simplify right side
    28,201.50x = 411,812,023.46
  5. Step 5: Solve for x
    x = 411,812,023.46/28,201.50
  6. Step 6: Final answer
    x = 14,602.49

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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.