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Finding the Fourth Proportional to 12,822.96, 17,700.48 and 9,984.72

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Solution

The fourth proportional to 12,822.96, 17,700.48 and 9,984.72 is: 13,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.96 : 17,700.48 = 9,984.72 : x
  2. Step 2: Convert to fraction form
    12,822.96/17,700.48 = 9,984.72/x
  3. Step 3: Cross multiply
    12,822.96x = 17,700.48 × 9,984.72
  4. Step 4: Simplify right side
    12,822.96x = 176,734,336.67
  5. Step 5: Solve for x
    x = 176,734,336.67/12,822.96
  6. Step 6: Final answer
    x = 13,782.65

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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.