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Finding the Fourth Proportional to 13,415.12, 18,513.69 and 7,446.89

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Solution

The fourth proportional to 13,415.12, 18,513.69 and 7,446.89 is: 10,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.12 : 18,513.69 = 7,446.89 : x
  2. Step 2: Convert to fraction form
    13,415.12/18,513.69 = 7,446.89/x
  3. Step 3: Cross multiply
    13,415.12x = 18,513.69 × 7,446.89
  4. Step 4: Simplify right side
    13,415.12x = 137,869,320.36
  5. Step 5: Solve for x
    x = 137,869,320.36/13,415.12
  6. Step 6: Final answer
    x = 10,277.16

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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.