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Finding the Fourth Proportional to 25,647, 38,473.56 and 7,875.32

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Solution

The fourth proportional to 25,647, 38,473.56 and 7,875.32 is: 11,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647 : 38,473.56 = 7,875.32 : x
  2. Step 2: Convert to fraction form
    25,647/38,473.56 = 7,875.32/x
  3. Step 3: Cross multiply
    25,647x = 38,473.56 × 7,875.32
  4. Step 4: Simplify right side
    25,647x = 302,991,404.17
  5. Step 5: Solve for x
    x = 302,991,404.17/25,647
  6. Step 6: Final answer
    x = 11,813.91

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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.