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Finding the Fourth Proportional to 13,093.84, 18,070 and 7,505.92

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Solution

The fourth proportional to 13,093.84, 18,070 and 7,505.92 is: 10,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.84 : 18,070 = 7,505.92 : x
  2. Step 2: Convert to fraction form
    13,093.84/18,070 = 7,505.92/x
  3. Step 3: Cross multiply
    13,093.84x = 18,070 × 7,505.92
  4. Step 4: Simplify right side
    13,093.84x = 135,631,974.40
  5. Step 5: Solve for x
    x = 135,631,974.40/13,093.84
  6. Step 6: Final answer
    x = 10,358.46

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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.