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Finding the Fourth Proportional to 13,612.33, 18,784.87 and 7,643.86

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Solution

The fourth proportional to 13,612.33, 18,784.87 and 7,643.86 is: 10,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.33 : 18,784.87 = 7,643.86 : x
  2. Step 2: Convert to fraction form
    13,612.33/18,784.87 = 7,643.86/x
  3. Step 3: Cross multiply
    13,612.33x = 18,784.87 × 7,643.86
  4. Step 4: Simplify right side
    13,612.33x = 143,588,916.40
  5. Step 5: Solve for x
    x = 143,588,916.40/13,612.33
  6. Step 6: Final answer
    x = 10,548.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.