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Finding the Fourth Proportional to 12,535.95, 18,767.03 and 9,263.64

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Solution

The fourth proportional to 12,535.95, 18,767.03 and 9,263.64 is: 13,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.95 : 18,767.03 = 9,263.64 : x
  2. Step 2: Convert to fraction form
    12,535.95/18,767.03 = 9,263.64/x
  3. Step 3: Cross multiply
    12,535.95x = 18,767.03 × 9,263.64
  4. Step 4: Simplify right side
    12,535.95x = 173,850,963.47
  5. Step 5: Solve for x
    x = 173,850,963.47/12,535.95
  6. Step 6: Final answer
    x = 13,868.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.