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Finding the Fourth Proportional to 14,602.91, 20,153.60 and 8,941.47

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Solution

The fourth proportional to 14,602.91, 20,153.60 and 8,941.47 is: 12,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.91 : 20,153.60 = 8,941.47 : x
  2. Step 2: Convert to fraction form
    14,602.91/20,153.60 = 8,941.47/x
  3. Step 3: Cross multiply
    14,602.91x = 20,153.60 × 8,941.47
  4. Step 4: Simplify right side
    14,602.91x = 180,202,809.79
  5. Step 5: Solve for x
    x = 180,202,809.79/14,602.91
  6. Step 6: Final answer
    x = 12,340.20

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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.