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Finding the Fourth Proportional to 13,762.95, 18,995.90 and 9,047.67

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Solution

The fourth proportional to 13,762.95, 18,995.90 and 9,047.67 is: 12,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.95 : 18,995.90 = 9,047.67 : x
  2. Step 2: Convert to fraction form
    13,762.95/18,995.90 = 9,047.67/x
  3. Step 3: Cross multiply
    13,762.95x = 18,995.90 × 9,047.67
  4. Step 4: Simplify right side
    13,762.95x = 171,868,589.31
  5. Step 5: Solve for x
    x = 171,868,589.31/13,762.95
  6. Step 6: Final answer
    x = 12,487.77

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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.