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Finding the Fourth Proportional to 14,009.98, 21,014.16 and 5,131.30

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Solution

The fourth proportional to 14,009.98, 21,014.16 and 5,131.30 is: 7,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.98 : 21,014.16 = 5,131.30 : x
  2. Step 2: Convert to fraction form
    14,009.98/21,014.16 = 5,131.30/x
  3. Step 3: Cross multiply
    14,009.98x = 21,014.16 × 5,131.30
  4. Step 4: Simplify right side
    14,009.98x = 107,829,959.21
  5. Step 5: Solve for x
    x = 107,829,959.21/14,009.98
  6. Step 6: Final answer
    x = 7,696.65

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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.