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Finding the Fourth Proportional to 15,890.49, 23,827.98 and 4,795.11

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Solution

The fourth proportional to 15,890.49, 23,827.98 and 4,795.11 is: 7,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890.49 : 23,827.98 = 4,795.11 : x
  2. Step 2: Convert to fraction form
    15,890.49/23,827.98 = 4,795.11/x
  3. Step 3: Cross multiply
    15,890.49x = 23,827.98 × 4,795.11
  4. Step 4: Simplify right side
    15,890.49x = 114,257,785.18
  5. Step 5: Solve for x
    x = 114,257,785.18/15,890.49
  6. Step 6: Final answer
    x = 7,190.32

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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.