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Finding the Fourth Proportional to 17,202.76, 25,804.12 and 11,358

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Solution

The fourth proportional to 17,202.76, 25,804.12 and 11,358 is: 17,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.76 : 25,804.12 = 11,358 : x
  2. Step 2: Convert to fraction form
    17,202.76/25,804.12 = 11,358/x
  3. Step 3: Cross multiply
    17,202.76x = 25,804.12 × 11,358
  4. Step 4: Simplify right side
    17,202.76x = 293,083,194.96
  5. Step 5: Solve for x
    x = 293,083,194.96/17,202.76
  6. Step 6: Final answer
    x = 17,036.99

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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.