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Finding the Fourth Proportional to 21,643.42, 29,869.42 and 12,085.18

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Solution

The fourth proportional to 21,643.42, 29,869.42 and 12,085.18 is: 16,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.42 : 29,869.42 = 12,085.18 : x
  2. Step 2: Convert to fraction form
    21,643.42/29,869.42 = 12,085.18/x
  3. Step 3: Cross multiply
    21,643.42x = 29,869.42 × 12,085.18
  4. Step 4: Simplify right side
    21,643.42x = 360,977,317.20
  5. Step 5: Solve for x
    x = 360,977,317.20/21,643.42
  6. Step 6: Final answer
    x = 16,678.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.