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Finding the Fourth Proportional to 21,490.84, 29,657.28 and 12,059.38

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Solution

The fourth proportional to 21,490.84, 29,657.28 and 12,059.38 is: 16,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490.84 : 29,657.28 = 12,059.38 : x
  2. Step 2: Convert to fraction form
    21,490.84/29,657.28 = 12,059.38/x
  3. Step 3: Cross multiply
    21,490.84x = 29,657.28 × 12,059.38
  4. Step 4: Simplify right side
    21,490.84x = 357,648,409.29
  5. Step 5: Solve for x
    x = 357,648,409.29/21,490.84
  6. Step 6: Final answer
    x = 16,641.90

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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.