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Finding the Fourth Proportional to 14,218.98, 21,299.40 and 7,189.14

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Solution

The fourth proportional to 14,218.98, 21,299.40 and 7,189.14 is: 10,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218.98 : 21,299.40 = 7,189.14 : x
  2. Step 2: Convert to fraction form
    14,218.98/21,299.40 = 7,189.14/x
  3. Step 3: Cross multiply
    14,218.98x = 21,299.40 × 7,189.14
  4. Step 4: Simplify right side
    14,218.98x = 153,124,368.52
  5. Step 5: Solve for x
    x = 153,124,368.52/14,218.98
  6. Step 6: Final answer
    x = 10,769.01

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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.