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Finding the Fourth Proportional to 25,803.63, 38,678.04 and 16,414.11

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Solution

The fourth proportional to 25,803.63, 38,678.04 and 16,414.11 is: 24,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.63 : 38,678.04 = 16,414.11 : x
  2. Step 2: Convert to fraction form
    25,803.63/38,678.04 = 16,414.11/x
  3. Step 3: Cross multiply
    25,803.63x = 38,678.04 × 16,414.11
  4. Step 4: Simplify right side
    25,803.63x = 634,865,603.14
  5. Step 5: Solve for x
    x = 634,865,603.14/25,803.63
  6. Step 6: Final answer
    x = 24,603.73

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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.