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Finding the Fourth Proportional to 13,207.92, 19,813.50 and 6,184.32

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Solution

The fourth proportional to 13,207.92, 19,813.50 and 6,184.32 is: 9,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.92 : 19,813.50 = 6,184.32 : x
  2. Step 2: Convert to fraction form
    13,207.92/19,813.50 = 6,184.32/x
  3. Step 3: Cross multiply
    13,207.92x = 19,813.50 × 6,184.32
  4. Step 4: Simplify right side
    13,207.92x = 122,533,024.32
  5. Step 5: Solve for x
    x = 122,533,024.32/13,207.92
  6. Step 6: Final answer
    x = 9,277.24

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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.