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Finding the Fourth Proportional to 25,562.34, 38,349.66 and 8,032.16

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Solution

The fourth proportional to 25,562.34, 38,349.66 and 8,032.16 is: 12,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,562.34 : 38,349.66 = 8,032.16 : x
  2. Step 2: Convert to fraction form
    25,562.34/38,349.66 = 8,032.16/x
  3. Step 3: Cross multiply
    25,562.34x = 38,349.66 × 8,032.16
  4. Step 4: Simplify right side
    25,562.34x = 308,030,413.32
  5. Step 5: Solve for x
    x = 308,030,413.32/25,562.34
  6. Step 6: Final answer
    x = 12,050.16

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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.