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Finding the Fourth Proportional to 21,206.58, 29,270.40 and 12,259.28

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Solution

The fourth proportional to 21,206.58, 29,270.40 and 12,259.28 is: 16,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.58 : 29,270.40 = 12,259.28 : x
  2. Step 2: Convert to fraction form
    21,206.58/29,270.40 = 12,259.28/x
  3. Step 3: Cross multiply
    21,206.58x = 29,270.40 × 12,259.28
  4. Step 4: Simplify right side
    21,206.58x = 358,834,029.31
  5. Step 5: Solve for x
    x = 358,834,029.31/21,206.58
  6. Step 6: Final answer
    x = 16,920.88

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