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Finding the Fourth Proportional to 15,643.68, 23,460.66 and 5,253

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Solution

The fourth proportional to 15,643.68, 23,460.66 and 5,253 is: 7,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.68 : 23,460.66 = 5,253 : x
  2. Step 2: Convert to fraction form
    15,643.68/23,460.66 = 5,253/x
  3. Step 3: Cross multiply
    15,643.68x = 23,460.66 × 5,253
  4. Step 4: Simplify right side
    15,643.68x = 123,238,846.98
  5. Step 5: Solve for x
    x = 123,238,846.98/15,643.68
  6. Step 6: Final answer
    x = 7,877.87

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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.