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Finding the Fourth Proportional to 14,681.78, 20,261.86 and 8,308.38

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Solution

The fourth proportional to 14,681.78, 20,261.86 and 8,308.38 is: 11,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.78 : 20,261.86 = 8,308.38 : x
  2. Step 2: Convert to fraction form
    14,681.78/20,261.86 = 8,308.38/x
  3. Step 3: Cross multiply
    14,681.78x = 20,261.86 × 8,308.38
  4. Step 4: Simplify right side
    14,681.78x = 168,343,135.63
  5. Step 5: Solve for x
    x = 168,343,135.63/14,681.78
  6. Step 6: Final answer
    x = 11,466.12

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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.