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Finding the Fourth Proportional to 23,153, 34,731.14 and 9,302

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Solution

The fourth proportional to 23,153, 34,731.14 and 9,302 is: 13,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153 : 34,731.14 = 9,302 : x
  2. Step 2: Convert to fraction form
    23,153/34,731.14 = 9,302/x
  3. Step 3: Cross multiply
    23,153x = 34,731.14 × 9,302
  4. Step 4: Simplify right side
    23,153x = 323,069,064.28
  5. Step 5: Solve for x
    x = 323,069,064.28/23,153
  6. Step 6: Final answer
    x = 13,953.66

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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.