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Finding the Fourth Proportional to 14,611.39, 21,903.21 and 4,743.77

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Solution

The fourth proportional to 14,611.39, 21,903.21 and 4,743.77 is: 7,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.39 : 21,903.21 = 4,743.77 : x
  2. Step 2: Convert to fraction form
    14,611.39/21,903.21 = 4,743.77/x
  3. Step 3: Cross multiply
    14,611.39x = 21,903.21 × 4,743.77
  4. Step 4: Simplify right side
    14,611.39x = 103,903,680.99
  5. Step 5: Solve for x
    x = 103,903,680.99/14,611.39
  6. Step 6: Final answer
    x = 7,111.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.