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Finding the Fourth Proportional to 14,378.16, 21,567.84 and 5,019.11

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Solution

The fourth proportional to 14,378.16, 21,567.84 and 5,019.11 is: 7,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.16 : 21,567.84 = 5,019.11 : x
  2. Step 2: Convert to fraction form
    14,378.16/21,567.84 = 5,019.11/x
  3. Step 3: Cross multiply
    14,378.16x = 21,567.84 × 5,019.11
  4. Step 4: Simplify right side
    14,378.16x = 108,251,228.49
  5. Step 5: Solve for x
    x = 108,251,228.49/14,378.16
  6. Step 6: Final answer
    x = 7,528.87

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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.