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Finding the Fourth Proportional to 23,556.84, 32,509.04 and 12,946.74

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Solution

The fourth proportional to 23,556.84, 32,509.04 and 12,946.74 is: 17,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,556.84 : 32,509.04 = 12,946.74 : x
  2. Step 2: Convert to fraction form
    23,556.84/32,509.04 = 12,946.74/x
  3. Step 3: Cross multiply
    23,556.84x = 32,509.04 × 12,946.74
  4. Step 4: Simplify right side
    23,556.84x = 420,886,023.80
  5. Step 5: Solve for x
    x = 420,886,023.80/23,556.84
  6. Step 6: Final answer
    x = 17,866.83

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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.