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Finding the Fourth Proportional to 14,567.18, 21,872.64 and 8,334.22

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Solution

The fourth proportional to 14,567.18, 21,872.64 and 8,334.22 is: 12,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.18 : 21,872.64 = 8,334.22 : x
  2. Step 2: Convert to fraction form
    14,567.18/21,872.64 = 8,334.22/x
  3. Step 3: Cross multiply
    14,567.18x = 21,872.64 × 8,334.22
  4. Step 4: Simplify right side
    14,567.18x = 182,291,393.74
  5. Step 5: Solve for x
    x = 182,291,393.74/14,567.18
  6. Step 6: Final answer
    x = 12,513.84

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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.