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Finding the Fourth Proportional to 28,200.48, 42,308.40 and 9,735.20

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Solution

The fourth proportional to 28,200.48, 42,308.40 and 9,735.20 is: 14,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200.48 : 42,308.40 = 9,735.20 : x
  2. Step 2: Convert to fraction form
    28,200.48/42,308.40 = 9,735.20/x
  3. Step 3: Cross multiply
    28,200.48x = 42,308.40 × 9,735.20
  4. Step 4: Simplify right side
    28,200.48x = 411,880,735.68
  5. Step 5: Solve for x
    x = 411,880,735.68/28,200.48
  6. Step 6: Final answer
    x = 14,605.45

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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.