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Finding the Fourth Proportional to 13,461.71, 18,577.01 and 7,411.83

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Solution

The fourth proportional to 13,461.71, 18,577.01 and 7,411.83 is: 10,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.71 : 18,577.01 = 7,411.83 : x
  2. Step 2: Convert to fraction form
    13,461.71/18,577.01 = 7,411.83/x
  3. Step 3: Cross multiply
    13,461.71x = 18,577.01 × 7,411.83
  4. Step 4: Simplify right side
    13,461.71x = 137,689,664.02
  5. Step 5: Solve for x
    x = 137,689,664.02/13,461.71
  6. Step 6: Final answer
    x = 10,228.24

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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.