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Finding the Fourth Proportional to 15,867.69, 23,804.54 and 6,380.74

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Solution

The fourth proportional to 15,867.69, 23,804.54 and 6,380.74 is: 9,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867.69 : 23,804.54 = 6,380.74 : x
  2. Step 2: Convert to fraction form
    15,867.69/23,804.54 = 6,380.74/x
  3. Step 3: Cross multiply
    15,867.69x = 23,804.54 × 6,380.74
  4. Step 4: Simplify right side
    15,867.69x = 151,890,513.07
  5. Step 5: Solve for x
    x = 151,890,513.07/15,867.69
  6. Step 6: Final answer
    x = 9,572.32

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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.