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Finding the Fourth Proportional to 23,478.84, 35,223.48 and 7,896

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Solution

The fourth proportional to 23,478.84, 35,223.48 and 7,896 is: 11,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.84 : 35,223.48 = 7,896 : x
  2. Step 2: Convert to fraction form
    23,478.84/35,223.48 = 7,896/x
  3. Step 3: Cross multiply
    23,478.84x = 35,223.48 × 7,896
  4. Step 4: Simplify right side
    23,478.84x = 278,124,598.08
  5. Step 5: Solve for x
    x = 278,124,598.08/23,478.84
  6. Step 6: Final answer
    x = 11,845.76

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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.