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Finding the Fourth Proportional to 14,011.40, 21,017 and 4,150.74

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Solution

The fourth proportional to 14,011.40, 21,017 and 4,150.74 is: 6,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.40 : 21,017 = 4,150.74 : x
  2. Step 2: Convert to fraction form
    14,011.40/21,017 = 4,150.74/x
  3. Step 3: Cross multiply
    14,011.40x = 21,017 × 4,150.74
  4. Step 4: Simplify right side
    14,011.40x = 87,236,102.58
  5. Step 5: Solve for x
    x = 87,236,102.58/14,011.40
  6. Step 6: Final answer
    x = 6,226.08

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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.