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Finding the Fourth Proportional to 21,595.49, 29,802.17 and 12,164.39

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Solution

The fourth proportional to 21,595.49, 29,802.17 and 12,164.39 is: 16,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,595.49 : 29,802.17 = 12,164.39 : x
  2. Step 2: Convert to fraction form
    21,595.49/29,802.17 = 12,164.39/x
  3. Step 3: Cross multiply
    21,595.49x = 29,802.17 × 12,164.39
  4. Step 4: Simplify right side
    21,595.49x = 362,525,218.73
  5. Step 5: Solve for x
    x = 362,525,218.73/21,595.49
  6. Step 6: Final answer
    x = 16,787.08

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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.