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Finding the Fourth Proportional to 14,175.94, 19,567.38 and 12,681.22

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Solution

The fourth proportional to 14,175.94, 19,567.38 and 12,681.22 is: 17,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.94 : 19,567.38 = 12,681.22 : x
  2. Step 2: Convert to fraction form
    14,175.94/19,567.38 = 12,681.22/x
  3. Step 3: Cross multiply
    14,175.94x = 19,567.38 × 12,681.22
  4. Step 4: Simplify right side
    14,175.94x = 248,138,250.60
  5. Step 5: Solve for x
    x = 248,138,250.60/14,175.94
  6. Step 6: Final answer
    x = 17,504.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.