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Finding the Fourth Proportional to 31,556.54, 47,298.47 and 12,816

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Solution

The fourth proportional to 31,556.54, 47,298.47 and 12,816 is: 19,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,556.54 : 47,298.47 = 12,816 : x
  2. Step 2: Convert to fraction form
    31,556.54/47,298.47 = 12,816/x
  3. Step 3: Cross multiply
    31,556.54x = 47,298.47 × 12,816
  4. Step 4: Simplify right side
    31,556.54x = 606,177,127.44
  5. Step 5: Solve for x
    x = 606,177,127.44/31,556.54
  6. Step 6: Final answer
    x = 19,209.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.