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Finding the Fourth Proportional to 25,647.49, 35,391.22 and 14,316

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Solution

The fourth proportional to 25,647.49, 35,391.22 and 14,316 is: 19,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647.49 : 35,391.22 = 14,316 : x
  2. Step 2: Convert to fraction form
    25,647.49/35,391.22 = 14,316/x
  3. Step 3: Cross multiply
    25,647.49x = 35,391.22 × 14,316
  4. Step 4: Simplify right side
    25,647.49x = 506,660,705.52
  5. Step 5: Solve for x
    x = 506,660,705.52/25,647.49
  6. Step 6: Final answer
    x = 19,754.79

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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.