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Finding the Fourth Proportional to 15,680, 23,630.07 and 14,121.76

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Solution

The fourth proportional to 15,680, 23,630.07 and 14,121.76 is: 21,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680 : 23,630.07 = 14,121.76 : x
  2. Step 2: Convert to fraction form
    15,680/23,630.07 = 14,121.76/x
  3. Step 3: Cross multiply
    15,680x = 23,630.07 × 14,121.76
  4. Step 4: Simplify right side
    15,680x = 333,698,177.32
  5. Step 5: Solve for x
    x = 333,698,177.32/15,680
  6. Step 6: Final answer
    x = 21,281.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.