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Finding the Fourth Proportional to 25,572.82, 38,368.44 and 8,935.30

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Solution

The fourth proportional to 25,572.82, 38,368.44 and 8,935.30 is: 13,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572.82 : 38,368.44 = 8,935.30 : x
  2. Step 2: Convert to fraction form
    25,572.82/38,368.44 = 8,935.30/x
  3. Step 3: Cross multiply
    25,572.82x = 38,368.44 × 8,935.30
  4. Step 4: Simplify right side
    25,572.82x = 342,833,521.93
  5. Step 5: Solve for x
    x = 342,833,521.93/25,572.82
  6. Step 6: Final answer
    x = 13,406.17

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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.