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Finding the Fourth Proportional to 16,358, 24,536.46 and 5,265.32

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Solution

The fourth proportional to 16,358, 24,536.46 and 5,265.32 is: 7,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358 : 24,536.46 = 5,265.32 : x
  2. Step 2: Convert to fraction form
    16,358/24,536.46 = 5,265.32/x
  3. Step 3: Cross multiply
    16,358x = 24,536.46 × 5,265.32
  4. Step 4: Simplify right side
    16,358x = 129,192,313.57
  5. Step 5: Solve for x
    x = 129,192,313.57/16,358
  6. Step 6: Final answer
    x = 7,897.81

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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.