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Finding the Fourth Proportional to 17,603.68, 26,415.24 and 7,213

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Solution

The fourth proportional to 17,603.68, 26,415.24 and 7,213 is: 10,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,603.68 : 26,415.24 = 7,213 : x
  2. Step 2: Convert to fraction form
    17,603.68/26,415.24 = 7,213/x
  3. Step 3: Cross multiply
    17,603.68x = 26,415.24 × 7,213
  4. Step 4: Simplify right side
    17,603.68x = 190,533,126.12
  5. Step 5: Solve for x
    x = 190,533,126.12/17,603.68
  6. Step 6: Final answer
    x = 10,823.48

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Why These Related Problems?

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