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Finding the Fourth Proportional to 15,653.50, 23,474.82 and 6,290.74

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Solution

The fourth proportional to 15,653.50, 23,474.82 and 6,290.74 is: 9,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,653.50 : 23,474.82 = 6,290.74 : x
  2. Step 2: Convert to fraction form
    15,653.50/23,474.82 = 6,290.74/x
  3. Step 3: Cross multiply
    15,653.50x = 23,474.82 × 6,290.74
  4. Step 4: Simplify right side
    15,653.50x = 147,673,989.17
  5. Step 5: Solve for x
    x = 147,673,989.17/15,653.50
  6. Step 6: Final answer
    x = 9,433.93

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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.