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Finding the Fourth Proportional to 12,833.76, 17,710.56 and 7,244.72

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Solution

The fourth proportional to 12,833.76, 17,710.56 and 7,244.72 is: 9,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.76 : 17,710.56 = 7,244.72 : x
  2. Step 2: Convert to fraction form
    12,833.76/17,710.56 = 7,244.72/x
  3. Step 3: Cross multiply
    12,833.76x = 17,710.56 × 7,244.72
  4. Step 4: Simplify right side
    12,833.76x = 128,308,048.24
  5. Step 5: Solve for x
    x = 128,308,048.24/12,833.76
  6. Step 6: Final answer
    x = 9,997.70

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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.