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Finding the Fourth Proportional to 25,334.48, 38,005.82 and 7,804.32

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Solution

The fourth proportional to 25,334.48, 38,005.82 and 7,804.32 is: 11,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,334.48 : 38,005.82 = 7,804.32 : x
  2. Step 2: Convert to fraction form
    25,334.48/38,005.82 = 7,804.32/x
  3. Step 3: Cross multiply
    25,334.48x = 38,005.82 × 7,804.32
  4. Step 4: Simplify right side
    25,334.48x = 296,609,581.14
  5. Step 5: Solve for x
    x = 296,609,581.14/25,334.48
  6. Step 6: Final answer
    x = 11,707.74

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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.