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Finding the Fourth Proportional to 10,208.72, 15,404.90 and 9,842.60

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Solution

The fourth proportional to 10,208.72, 15,404.90 and 9,842.60 is: 14,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.72 : 15,404.90 = 9,842.60 : x
  2. Step 2: Convert to fraction form
    10,208.72/15,404.90 = 9,842.60/x
  3. Step 3: Cross multiply
    10,208.72x = 15,404.90 × 9,842.60
  4. Step 4: Simplify right side
    10,208.72x = 151,624,268.74
  5. Step 5: Solve for x
    x = 151,624,268.74/10,208.72
  6. Step 6: Final answer
    x = 14,852.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.