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Finding the Fourth Proportional to 22,659.16, 33,988.74 and 7,078

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Solution

The fourth proportional to 22,659.16, 33,988.74 and 7,078 is: 10,617

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659.16 : 33,988.74 = 7,078 : x
  2. Step 2: Convert to fraction form
    22,659.16/33,988.74 = 7,078/x
  3. Step 3: Cross multiply
    22,659.16x = 33,988.74 × 7,078
  4. Step 4: Simplify right side
    22,659.16x = 240,572,301.72
  5. Step 5: Solve for x
    x = 240,572,301.72/22,659.16
  6. Step 6: Final answer
    x = 10,617

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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.