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Finding the Fourth Proportional to 25,388.12, 38,076 and 10,597.16

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Solution

The fourth proportional to 25,388.12, 38,076 and 10,597.16 is: 15,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,388.12 : 38,076 = 10,597.16 : x
  2. Step 2: Convert to fraction form
    25,388.12/38,076 = 10,597.16/x
  3. Step 3: Cross multiply
    25,388.12x = 38,076 × 10,597.16
  4. Step 4: Simplify right side
    25,388.12x = 403,497,464.16
  5. Step 5: Solve for x
    x = 403,497,464.16/25,388.12
  6. Step 6: Final answer
    x = 15,893.16

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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.