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Finding the Fourth Proportional to 15,976.58, 23,967.09 and 7,660.71

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Solution

The fourth proportional to 15,976.58, 23,967.09 and 7,660.71 is: 11,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976.58 : 23,967.09 = 7,660.71 : x
  2. Step 2: Convert to fraction form
    15,976.58/23,967.09 = 7,660.71/x
  3. Step 3: Cross multiply
    15,976.58x = 23,967.09 × 7,660.71
  4. Step 4: Simplify right side
    15,976.58x = 183,604,926.03
  5. Step 5: Solve for x
    x = 183,604,926.03/15,976.58
  6. Step 6: Final answer
    x = 11,492.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.