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Finding the Fourth Proportional to 17,533.68, 26,334 and 10,152.96

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Solution

The fourth proportional to 17,533.68, 26,334 and 10,152.96 is: 15,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.68 : 26,334 = 10,152.96 : x
  2. Step 2: Convert to fraction form
    17,533.68/26,334 = 10,152.96/x
  3. Step 3: Cross multiply
    17,533.68x = 26,334 × 10,152.96
  4. Step 4: Simplify right side
    17,533.68x = 267,368,048.64
  5. Step 5: Solve for x
    x = 267,368,048.64/17,533.68
  6. Step 6: Final answer
    x = 15,248.83

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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.