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Finding the Fourth Proportional to 21,416.74, 29,555.36 and 12,340.02

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Solution

The fourth proportional to 21,416.74, 29,555.36 and 12,340.02 is: 17,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.74 : 29,555.36 = 12,340.02 : x
  2. Step 2: Convert to fraction form
    21,416.74/29,555.36 = 12,340.02/x
  3. Step 3: Cross multiply
    21,416.74x = 29,555.36 × 12,340.02
  4. Step 4: Simplify right side
    21,416.74x = 364,713,733.51
  5. Step 5: Solve for x
    x = 364,713,733.51/21,416.74
  6. Step 6: Final answer
    x = 17,029.38

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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.