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Finding the Fourth Proportional to 25,333.81, 38,001.24 and 7,803.63

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Solution

The fourth proportional to 25,333.81, 38,001.24 and 7,803.63 is: 11,705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,333.81 : 38,001.24 = 7,803.63 : x
  2. Step 2: Convert to fraction form
    25,333.81/38,001.24 = 7,803.63/x
  3. Step 3: Cross multiply
    25,333.81x = 38,001.24 × 7,803.63
  4. Step 4: Simplify right side
    25,333.81x = 296,547,616.50
  5. Step 5: Solve for x
    x = 296,547,616.50/25,333.81
  6. Step 6: Final answer
    x = 11,705.61

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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.