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Finding the Fourth Proportional to 13,651.51, 18,838.30 and 7,682.93

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Solution

The fourth proportional to 13,651.51, 18,838.30 and 7,682.93 is: 10,602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.51 : 18,838.30 = 7,682.93 : x
  2. Step 2: Convert to fraction form
    13,651.51/18,838.30 = 7,682.93/x
  3. Step 3: Cross multiply
    13,651.51x = 18,838.30 × 7,682.93
  4. Step 4: Simplify right side
    13,651.51x = 144,733,340.22
  5. Step 5: Solve for x
    x = 144,733,340.22/13,651.51
  6. Step 6: Final answer
    x = 10,602.00

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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.