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Finding the Fourth Proportional to 28,283.94, 38,994.69 and 23,508

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Solution

The fourth proportional to 28,283.94, 38,994.69 and 23,508 is: 32,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,283.94 : 38,994.69 = 23,508 : x
  2. Step 2: Convert to fraction form
    28,283.94/38,994.69 = 23,508/x
  3. Step 3: Cross multiply
    28,283.94x = 38,994.69 × 23,508
  4. Step 4: Simplify right side
    28,283.94x = 916,687,172.52
  5. Step 5: Solve for x
    x = 916,687,172.52/28,283.94
  6. Step 6: Final answer
    x = 32,410.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.