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Finding the Fourth Proportional to 16,201, 24,301.50 and 5,257

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Solution

The fourth proportional to 16,201, 24,301.50 and 5,257 is: 7,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201 : 24,301.50 = 5,257 : x
  2. Step 2: Convert to fraction form
    16,201/24,301.50 = 5,257/x
  3. Step 3: Cross multiply
    16,201x = 24,301.50 × 5,257
  4. Step 4: Simplify right side
    16,201x = 127,752,985.50
  5. Step 5: Solve for x
    x = 127,752,985.50/16,201
  6. Step 6: Final answer
    x = 7,885.50

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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.