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Finding the Fourth Proportional to 13,101.86, 19,638.75 and 6,513.86

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Solution

The fourth proportional to 13,101.86, 19,638.75 and 6,513.86 is: 9,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.86 : 19,638.75 = 6,513.86 : x
  2. Step 2: Convert to fraction form
    13,101.86/19,638.75 = 6,513.86/x
  3. Step 3: Cross multiply
    13,101.86x = 19,638.75 × 6,513.86
  4. Step 4: Simplify right side
    13,101.86x = 127,924,068.08
  5. Step 5: Solve for x
    x = 127,924,068.08/13,101.86
  6. Step 6: Final answer
    x = 9,763.81

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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.