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Finding the Fourth Proportional to 23,808.64, 35,715.84 and 11,488

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Solution

The fourth proportional to 23,808.64, 35,715.84 and 11,488 is: 17,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.64 : 35,715.84 = 11,488 : x
  2. Step 2: Convert to fraction form
    23,808.64/35,715.84 = 11,488/x
  3. Step 3: Cross multiply
    23,808.64x = 35,715.84 × 11,488
  4. Step 4: Simplify right side
    23,808.64x = 410,303,569.92
  5. Step 5: Solve for x
    x = 410,303,569.92/23,808.64
  6. Step 6: Final answer
    x = 17,233.39

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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.