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Finding the Fourth Proportional to 23,655.84, 35,479.92 and 7,236

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Solution

The fourth proportional to 23,655.84, 35,479.92 and 7,236 is: 10,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655.84 : 35,479.92 = 7,236 : x
  2. Step 2: Convert to fraction form
    23,655.84/35,479.92 = 7,236/x
  3. Step 3: Cross multiply
    23,655.84x = 35,479.92 × 7,236
  4. Step 4: Simplify right side
    23,655.84x = 256,732,701.12
  5. Step 5: Solve for x
    x = 256,732,701.12/23,655.84
  6. Step 6: Final answer
    x = 10,852.83

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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.