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Finding the Fourth Proportional to 12,721.16, 17,552.93 and 7,682.01

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Solution

The fourth proportional to 12,721.16, 17,552.93 and 7,682.01 is: 10,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.16 : 17,552.93 = 7,682.01 : x
  2. Step 2: Convert to fraction form
    12,721.16/17,552.93 = 7,682.01/x
  3. Step 3: Cross multiply
    12,721.16x = 17,552.93 × 7,682.01
  4. Step 4: Simplify right side
    12,721.16x = 134,841,696.02
  5. Step 5: Solve for x
    x = 134,841,696.02/12,721.16
  6. Step 6: Final answer
    x = 10,599.80

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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.