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Finding the Fourth Proportional to 23,225, 32,050.50 and 13,289

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Solution

The fourth proportional to 23,225, 32,050.50 and 13,289 is: 18,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225 : 32,050.50 = 13,289 : x
  2. Step 2: Convert to fraction form
    23,225/32,050.50 = 13,289/x
  3. Step 3: Cross multiply
    23,225x = 32,050.50 × 13,289
  4. Step 4: Simplify right side
    23,225x = 425,919,094.50
  5. Step 5: Solve for x
    x = 425,919,094.50/23,225
  6. Step 6: Final answer
    x = 18,338.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.