Home / 13,414.16-20,123.40-4,178

Finding the Fourth Proportional to 13,414.16, 20,123.40 and 4,178

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Solution

The fourth proportional to 13,414.16, 20,123.40 and 4,178 is: 6,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.16 : 20,123.40 = 4,178 : x
  2. Step 2: Convert to fraction form
    13,414.16/20,123.40 = 4,178/x
  3. Step 3: Cross multiply
    13,414.16x = 20,123.40 × 4,178
  4. Step 4: Simplify right side
    13,414.16x = 84,075,565.20
  5. Step 5: Solve for x
    x = 84,075,565.20/13,414.16
  6. Step 6: Final answer
    x = 6,267.67

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Why These Related Problems?

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