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Finding the Fourth Proportional to 14,085.99, 21,134.62 and 6,184.43

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Solution

The fourth proportional to 14,085.99, 21,134.62 and 6,184.43 is: 9,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.99 : 21,134.62 = 6,184.43 : x
  2. Step 2: Convert to fraction form
    14,085.99/21,134.62 = 6,184.43/x
  3. Step 3: Cross multiply
    14,085.99x = 21,134.62 × 6,184.43
  4. Step 4: Simplify right side
    14,085.99x = 130,705,499.84
  5. Step 5: Solve for x
    x = 130,705,499.84/14,085.99
  6. Step 6: Final answer
    x = 9,279.11

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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.