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Finding the Fourth Proportional to 23,556.39, 32,507.88 and 12,946.71

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Solution

The fourth proportional to 23,556.39, 32,507.88 and 12,946.71 is: 17,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,556.39 : 32,507.88 = 12,946.71 : x
  2. Step 2: Convert to fraction form
    23,556.39/32,507.88 = 12,946.71/x
  3. Step 3: Cross multiply
    23,556.39x = 32,507.88 × 12,946.71
  4. Step 4: Simplify right side
    23,556.39x = 420,870,095.07
  5. Step 5: Solve for x
    x = 420,870,095.07/23,556.39
  6. Step 6: Final answer
    x = 17,866.49

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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.