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Finding the Fourth Proportional to 21,651, 29,878.38 and 12,219.36

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Solution

The fourth proportional to 21,651, 29,878.38 and 12,219.36 is: 16,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651 : 29,878.38 = 12,219.36 : x
  2. Step 2: Convert to fraction form
    21,651/29,878.38 = 12,219.36/x
  3. Step 3: Cross multiply
    21,651x = 29,878.38 × 12,219.36
  4. Step 4: Simplify right side
    21,651x = 365,094,681.44
  5. Step 5: Solve for x
    x = 365,094,681.44/21,651
  6. Step 6: Final answer
    x = 16,862.72

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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.