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Finding the Fourth Proportional to 13,694.68, 18,898.70 and 7,407.06

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Solution

The fourth proportional to 13,694.68, 18,898.70 and 7,407.06 is: 10,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.68 : 18,898.70 = 7,407.06 : x
  2. Step 2: Convert to fraction form
    13,694.68/18,898.70 = 7,407.06/x
  3. Step 3: Cross multiply
    13,694.68x = 18,898.70 × 7,407.06
  4. Step 4: Simplify right side
    13,694.68x = 139,983,804.82
  5. Step 5: Solve for x
    x = 139,983,804.82/13,694.68
  6. Step 6: Final answer
    x = 10,221.77

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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.