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Finding the Fourth Proportional to 15,827.46, 21,843.98 and 9,113.38

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Solution

The fourth proportional to 15,827.46, 21,843.98 and 9,113.38 is: 12,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.46 : 21,843.98 = 9,113.38 : x
  2. Step 2: Convert to fraction form
    15,827.46/21,843.98 = 9,113.38/x
  3. Step 3: Cross multiply
    15,827.46x = 21,843.98 × 9,113.38
  4. Step 4: Simplify right side
    15,827.46x = 199,072,490.45
  5. Step 5: Solve for x
    x = 199,072,490.45/15,827.46
  6. Step 6: Final answer
    x = 12,577.67

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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.