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Finding the Fourth Proportional to 14,427.81, 19,915.38 and 8,461.53

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Solution

The fourth proportional to 14,427.81, 19,915.38 and 8,461.53 is: 11,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.81 : 19,915.38 = 8,461.53 : x
  2. Step 2: Convert to fraction form
    14,427.81/19,915.38 = 8,461.53/x
  3. Step 3: Cross multiply
    14,427.81x = 19,915.38 × 8,461.53
  4. Step 4: Simplify right side
    14,427.81x = 168,514,585.33
  5. Step 5: Solve for x
    x = 168,514,585.33/14,427.81
  6. Step 6: Final answer
    x = 11,679.85

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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.