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Finding the Fourth Proportional to 14,699.86, 20,285.94 and 7,985.54

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Solution

The fourth proportional to 14,699.86, 20,285.94 and 7,985.54 is: 11,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.86 : 20,285.94 = 7,985.54 : x
  2. Step 2: Convert to fraction form
    14,699.86/20,285.94 = 7,985.54/x
  3. Step 3: Cross multiply
    14,699.86x = 20,285.94 × 7,985.54
  4. Step 4: Simplify right side
    14,699.86x = 161,994,113.82
  5. Step 5: Solve for x
    x = 161,994,113.82/14,699.86
  6. Step 6: Final answer
    x = 11,020.11

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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.