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Finding the Fourth Proportional to 15,853.76, 23,760.02 and 6,483.06

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Solution

The fourth proportional to 15,853.76, 23,760.02 and 6,483.06 is: 9,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.76 : 23,760.02 = 6,483.06 : x
  2. Step 2: Convert to fraction form
    15,853.76/23,760.02 = 6,483.06/x
  3. Step 3: Cross multiply
    15,853.76x = 23,760.02 × 6,483.06
  4. Step 4: Simplify right side
    15,853.76x = 154,037,602.85
  5. Step 5: Solve for x
    x = 154,037,602.85/15,853.76
  6. Step 6: Final answer
    x = 9,716.16

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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.