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Finding the Fourth Proportional to 14,475.53, 19,977.19 and 8,102.67

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Solution

The fourth proportional to 14,475.53, 19,977.19 and 8,102.67 is: 11,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.53 : 19,977.19 = 8,102.67 : x
  2. Step 2: Convert to fraction form
    14,475.53/19,977.19 = 8,102.67/x
  3. Step 3: Cross multiply
    14,475.53x = 19,977.19 × 8,102.67
  4. Step 4: Simplify right side
    14,475.53x = 161,868,578.10
  5. Step 5: Solve for x
    x = 161,868,578.10/14,475.53
  6. Step 6: Final answer
    x = 11,182.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.