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Finding the Fourth Proportional to 14,416.44, 21,617.94 and 7,489.08

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Solution

The fourth proportional to 14,416.44, 21,617.94 and 7,489.08 is: 11,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.44 : 21,617.94 = 7,489.08 : x
  2. Step 2: Convert to fraction form
    14,416.44/21,617.94 = 7,489.08/x
  3. Step 3: Cross multiply
    14,416.44x = 21,617.94 × 7,489.08
  4. Step 4: Simplify right side
    14,416.44x = 161,898,482.10
  5. Step 5: Solve for x
    x = 161,898,482.10/14,416.44
  6. Step 6: Final answer
    x = 11,230.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.