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Finding the Fourth Proportional to 13,284.74, 19,931.74 and 5,894.39

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Solution

The fourth proportional to 13,284.74, 19,931.74 and 5,894.39 is: 8,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.74 : 19,931.74 = 5,894.39 : x
  2. Step 2: Convert to fraction form
    13,284.74/19,931.74 = 5,894.39/x
  3. Step 3: Cross multiply
    13,284.74x = 19,931.74 × 5,894.39
  4. Step 4: Simplify right side
    13,284.74x = 117,485,484.03
  5. Step 5: Solve for x
    x = 117,485,484.03/13,284.74
  6. Step 6: Final answer
    x = 8,843.64

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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.