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Finding the Fourth Proportional to 15,606.68, 23,405.16 and 5,216

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Solution

The fourth proportional to 15,606.68, 23,405.16 and 5,216 is: 7,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606.68 : 23,405.16 = 5,216 : x
  2. Step 2: Convert to fraction form
    15,606.68/23,405.16 = 5,216/x
  3. Step 3: Cross multiply
    15,606.68x = 23,405.16 × 5,216
  4. Step 4: Simplify right side
    15,606.68x = 122,081,314.56
  5. Step 5: Solve for x
    x = 122,081,314.56/15,606.68
  6. Step 6: Final answer
    x = 7,822.38

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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.