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Finding the Fourth Proportional to 14,946.23, 20,621.14 and 8,484.81

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Solution

The fourth proportional to 14,946.23, 20,621.14 and 8,484.81 is: 11,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.23 : 20,621.14 = 8,484.81 : x
  2. Step 2: Convert to fraction form
    14,946.23/20,621.14 = 8,484.81/x
  3. Step 3: Cross multiply
    14,946.23x = 20,621.14 × 8,484.81
  4. Step 4: Simplify right side
    14,946.23x = 174,966,454.88
  5. Step 5: Solve for x
    x = 174,966,454.88/14,946.23
  6. Step 6: Final answer
    x = 11,706.39

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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.