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Finding the Fourth Proportional to 19,966.62, 29,955.06 and 7,486.82

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Solution

The fourth proportional to 19,966.62, 29,955.06 and 7,486.82 is: 11,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,966.62 : 29,955.06 = 7,486.82 : x
  2. Step 2: Convert to fraction form
    19,966.62/29,955.06 = 7,486.82/x
  3. Step 3: Cross multiply
    19,966.62x = 29,955.06 × 7,486.82
  4. Step 4: Simplify right side
    19,966.62x = 224,268,142.31
  5. Step 5: Solve for x
    x = 224,268,142.31/19,966.62
  6. Step 6: Final answer
    x = 11,232.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.