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Finding the Fourth Proportional to 16,059.25, 24,078.75 and 7,741.36

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Solution

The fourth proportional to 16,059.25, 24,078.75 and 7,741.36 is: 11,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,059.25 : 24,078.75 = 7,741.36 : x
  2. Step 2: Convert to fraction form
    16,059.25/24,078.75 = 7,741.36/x
  3. Step 3: Cross multiply
    16,059.25x = 24,078.75 × 7,741.36
  4. Step 4: Simplify right side
    16,059.25x = 186,402,272.10
  5. Step 5: Solve for x
    x = 186,402,272.10/16,059.25
  6. Step 6: Final answer
    x = 11,607.16

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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.