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Finding the Fourth Proportional to 23,894.85, 32,974.70 and 13,284.39

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Solution

The fourth proportional to 23,894.85, 32,974.70 and 13,284.39 is: 18,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.85 : 32,974.70 = 13,284.39 : x
  2. Step 2: Convert to fraction form
    23,894.85/32,974.70 = 13,284.39/x
  3. Step 3: Cross multiply
    23,894.85x = 32,974.70 × 13,284.39
  4. Step 4: Simplify right side
    23,894.85x = 438,048,708.51
  5. Step 5: Solve for x
    x = 438,048,708.51/23,894.85
  6. Step 6: Final answer
    x = 18,332.35

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