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Finding the Fourth Proportional to 25,840.89, 38,762.28 and 9,202.14

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Solution

The fourth proportional to 25,840.89, 38,762.28 and 9,202.14 is: 13,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840.89 : 38,762.28 = 9,202.14 : x
  2. Step 2: Convert to fraction form
    25,840.89/38,762.28 = 9,202.14/x
  3. Step 3: Cross multiply
    25,840.89x = 38,762.28 × 9,202.14
  4. Step 4: Simplify right side
    25,840.89x = 356,695,927.28
  5. Step 5: Solve for x
    x = 356,695,927.28/25,840.89
  6. Step 6: Final answer
    x = 13,803.55

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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.