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Finding the Fourth Proportional to 14,178.90, 19,567.06 and 7,806.24

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Solution

The fourth proportional to 14,178.90, 19,567.06 and 7,806.24 is: 10,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.90 : 19,567.06 = 7,806.24 : x
  2. Step 2: Convert to fraction form
    14,178.90/19,567.06 = 7,806.24/x
  3. Step 3: Cross multiply
    14,178.90x = 19,567.06 × 7,806.24
  4. Step 4: Simplify right side
    14,178.90x = 152,745,166.45
  5. Step 5: Solve for x
    x = 152,745,166.45/14,178.90
  6. Step 6: Final answer
    x = 10,772.71

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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.