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Finding the Fourth Proportional to 13,549.93, 18,698.89 and 7,583

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Solution

The fourth proportional to 13,549.93, 18,698.89 and 7,583 is: 10,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.93 : 18,698.89 = 7,583 : x
  2. Step 2: Convert to fraction form
    13,549.93/18,698.89 = 7,583/x
  3. Step 3: Cross multiply
    13,549.93x = 18,698.89 × 7,583
  4. Step 4: Simplify right side
    13,549.93x = 141,793,682.87
  5. Step 5: Solve for x
    x = 141,793,682.87/13,549.93
  6. Step 6: Final answer
    x = 10,464.53

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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.