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Finding the Fourth Proportional to 17,762.78, 24,512.80 and 9,804.83

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Solution

The fourth proportional to 17,762.78, 24,512.80 and 9,804.83 is: 13,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.78 : 24,512.80 = 9,804.83 : x
  2. Step 2: Convert to fraction form
    17,762.78/24,512.80 = 9,804.83/x
  3. Step 3: Cross multiply
    17,762.78x = 24,512.80 × 9,804.83
  4. Step 4: Simplify right side
    17,762.78x = 240,343,873.59
  5. Step 5: Solve for x
    x = 240,343,873.59/17,762.78
  6. Step 6: Final answer
    x = 13,530.76

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1.5x scale

Why These Related Problems?

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