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Finding the Fourth Proportional to 22,298, 33,449.16 and 7,510.64

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Solution

The fourth proportional to 22,298, 33,449.16 and 7,510.64 is: 11,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298 : 33,449.16 = 7,510.64 : x
  2. Step 2: Convert to fraction form
    22,298/33,449.16 = 7,510.64/x
  3. Step 3: Cross multiply
    22,298x = 33,449.16 × 7,510.64
  4. Step 4: Simplify right side
    22,298x = 251,224,599.06
  5. Step 5: Solve for x
    x = 251,224,599.06/22,298
  6. Step 6: Final answer
    x = 11,266.69

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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.