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Finding the Fourth Proportional to 25,363.16, 38,045.16 and 7,833.02

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Solution

The fourth proportional to 25,363.16, 38,045.16 and 7,833.02 is: 11,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,363.16 : 38,045.16 = 7,833.02 : x
  2. Step 2: Convert to fraction form
    25,363.16/38,045.16 = 7,833.02/x
  3. Step 3: Cross multiply
    25,363.16x = 38,045.16 × 7,833.02
  4. Step 4: Simplify right side
    25,363.16x = 298,008,499.18
  5. Step 5: Solve for x
    x = 298,008,499.18/25,363.16
  6. Step 6: Final answer
    x = 11,749.66

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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.