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Finding the Fourth Proportional to 14,729.16, 20,302.59 and 9,947.57

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Solution

The fourth proportional to 14,729.16, 20,302.59 and 9,947.57 is: 13,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729.16 : 20,302.59 = 9,947.57 : x
  2. Step 2: Convert to fraction form
    14,729.16/20,302.59 = 9,947.57/x
  3. Step 3: Cross multiply
    14,729.16x = 20,302.59 × 9,947.57
  4. Step 4: Simplify right side
    14,729.16x = 201,961,378.28
  5. Step 5: Solve for x
    x = 201,961,378.28/14,729.16
  6. Step 6: Final answer
    x = 13,711.67

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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.