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Finding the Fourth Proportional to 25,206.49, 34,783.02 and 14,451.24

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Solution

The fourth proportional to 25,206.49, 34,783.02 and 14,451.24 is: 19,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.49 : 34,783.02 = 14,451.24 : x
  2. Step 2: Convert to fraction form
    25,206.49/34,783.02 = 14,451.24/x
  3. Step 3: Cross multiply
    25,206.49x = 34,783.02 × 14,451.24
  4. Step 4: Simplify right side
    25,206.49x = 502,657,900.38
  5. Step 5: Solve for x
    x = 502,657,900.38/25,206.49
  6. Step 6: Final answer
    x = 19,941.61

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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.