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Finding the Fourth Proportional to 15,969.32, 22,046.82 and 10,681.64

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Solution

The fourth proportional to 15,969.32, 22,046.82 and 10,681.64 is: 14,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.32 : 22,046.82 = 10,681.64 : x
  2. Step 2: Convert to fraction form
    15,969.32/22,046.82 = 10,681.64/x
  3. Step 3: Cross multiply
    15,969.32x = 22,046.82 × 10,681.64
  4. Step 4: Simplify right side
    15,969.32x = 235,496,194.38
  5. Step 5: Solve for x
    x = 235,496,194.38/15,969.32
  6. Step 6: Final answer
    x = 14,746.79

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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.