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Finding the Fourth Proportional to 14,009.12, 21,014.89 and 4,647.14

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Solution

The fourth proportional to 14,009.12, 21,014.89 and 4,647.14 is: 6,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.12 : 21,014.89 = 4,647.14 : x
  2. Step 2: Convert to fraction form
    14,009.12/21,014.89 = 4,647.14/x
  3. Step 3: Cross multiply
    14,009.12x = 21,014.89 × 4,647.14
  4. Step 4: Simplify right side
    14,009.12x = 97,659,135.91
  5. Step 5: Solve for x
    x = 97,659,135.91/14,009.12
  6. Step 6: Final answer
    x = 6,971.11

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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.