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Finding the Fourth Proportional to 23,000.84, 34,494.06 and 7,415.24

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Solution

The fourth proportional to 23,000.84, 34,494.06 and 7,415.24 is: 11,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.84 : 34,494.06 = 7,415.24 : x
  2. Step 2: Convert to fraction form
    23,000.84/34,494.06 = 7,415.24/x
  3. Step 3: Cross multiply
    23,000.84x = 34,494.06 × 7,415.24
  4. Step 4: Simplify right side
    23,000.84x = 255,781,733.47
  5. Step 5: Solve for x
    x = 255,781,733.47/23,000.84
  6. Step 6: Final answer
    x = 11,120.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.