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Finding the Fourth Proportional to 23,722.84, 35,588.10 and 7,303

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Solution

The fourth proportional to 23,722.84, 35,588.10 and 7,303 is: 10,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.84 : 35,588.10 = 7,303 : x
  2. Step 2: Convert to fraction form
    23,722.84/35,588.10 = 7,303/x
  3. Step 3: Cross multiply
    23,722.84x = 35,588.10 × 7,303
  4. Step 4: Simplify right side
    23,722.84x = 259,899,894.30
  5. Step 5: Solve for x
    x = 259,899,894.30/23,722.84
  6. Step 6: Final answer
    x = 10,955.68

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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.