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Finding the Fourth Proportional to 13,929.86, 20,894.80 and 6,999.50

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Solution

The fourth proportional to 13,929.86, 20,894.80 and 6,999.50 is: 10,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.86 : 20,894.80 = 6,999.50 : x
  2. Step 2: Convert to fraction form
    13,929.86/20,894.80 = 6,999.50/x
  3. Step 3: Cross multiply
    13,929.86x = 20,894.80 × 6,999.50
  4. Step 4: Simplify right side
    13,929.86x = 146,253,152.60
  5. Step 5: Solve for x
    x = 146,253,152.60/13,929.86
  6. Step 6: Final answer
    x = 10,499.26

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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.