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Finding the Fourth Proportional to 13,411.51, 18,507.95 and 7,443.19

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Solution

The fourth proportional to 13,411.51, 18,507.95 and 7,443.19 is: 10,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.51 : 18,507.95 = 7,443.19 : x
  2. Step 2: Convert to fraction form
    13,411.51/18,507.95 = 7,443.19/x
  3. Step 3: Cross multiply
    13,411.51x = 18,507.95 × 7,443.19
  4. Step 4: Simplify right side
    13,411.51x = 137,758,058.60
  5. Step 5: Solve for x
    x = 137,758,058.60/13,411.51
  6. Step 6: Final answer
    x = 10,271.63

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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.