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Finding the Fourth Proportional to 14,462.19, 21,685.49 and 7,802.26

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Solution

The fourth proportional to 14,462.19, 21,685.49 and 7,802.26 is: 11,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.19 : 21,685.49 = 7,802.26 : x
  2. Step 2: Convert to fraction form
    14,462.19/21,685.49 = 7,802.26/x
  3. Step 3: Cross multiply
    14,462.19x = 21,685.49 × 7,802.26
  4. Step 4: Simplify right side
    14,462.19x = 169,195,796.50
  5. Step 5: Solve for x
    x = 169,195,796.50/14,462.19
  6. Step 6: Final answer
    x = 11,699.19

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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.