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Finding the Fourth Proportional to 25,653.36, 38,484.72 and 11,802

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Solution

The fourth proportional to 25,653.36, 38,484.72 and 11,802 is: 17,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653.36 : 38,484.72 = 11,802 : x
  2. Step 2: Convert to fraction form
    25,653.36/38,484.72 = 11,802/x
  3. Step 3: Cross multiply
    25,653.36x = 38,484.72 × 11,802
  4. Step 4: Simplify right side
    25,653.36x = 454,196,665.44
  5. Step 5: Solve for x
    x = 454,196,665.44/25,653.36
  6. Step 6: Final answer
    x = 17,705.15

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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.