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Finding the Fourth Proportional to 13,411.84, 18,508.34 and 7,443.51

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Solution

The fourth proportional to 13,411.84, 18,508.34 and 7,443.51 is: 10,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.84 : 18,508.34 = 7,443.51 : x
  2. Step 2: Convert to fraction form
    13,411.84/18,508.34 = 7,443.51/x
  3. Step 3: Cross multiply
    13,411.84x = 18,508.34 × 7,443.51
  4. Step 4: Simplify right side
    13,411.84x = 137,767,032.48
  5. Step 5: Solve for x
    x = 137,767,032.48/13,411.84
  6. Step 6: Final answer
    x = 10,272.05

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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.