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Finding the Fourth Proportional to 22,883.32, 34,328.76 and 7,300

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Solution

The fourth proportional to 22,883.32, 34,328.76 and 7,300 is: 10,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.32 : 34,328.76 = 7,300 : x
  2. Step 2: Convert to fraction form
    22,883.32/34,328.76 = 7,300/x
  3. Step 3: Cross multiply
    22,883.32x = 34,328.76 × 7,300
  4. Step 4: Simplify right side
    22,883.32x = 250,599,948
  5. Step 5: Solve for x
    x = 250,599,948/22,883.32
  6. Step 6: Final answer
    x = 10,951.21

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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.