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Finding the Fourth Proportional to 14,968.71, 20,656.94 and 8,254.58

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Solution

The fourth proportional to 14,968.71, 20,656.94 and 8,254.58 is: 11,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968.71 : 20,656.94 = 8,254.58 : x
  2. Step 2: Convert to fraction form
    14,968.71/20,656.94 = 8,254.58/x
  3. Step 3: Cross multiply
    14,968.71x = 20,656.94 × 8,254.58
  4. Step 4: Simplify right side
    14,968.71x = 170,514,219.23
  5. Step 5: Solve for x
    x = 170,514,219.23/14,968.71
  6. Step 6: Final answer
    x = 11,391.38

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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.