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Finding the Fourth Proportional to 14,583.74, 21,871.02 and 4,720.74

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Solution

The fourth proportional to 14,583.74, 21,871.02 and 4,720.74 is: 7,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.74 : 21,871.02 = 4,720.74 : x
  2. Step 2: Convert to fraction form
    14,583.74/21,871.02 = 4,720.74/x
  3. Step 3: Cross multiply
    14,583.74x = 21,871.02 × 4,720.74
  4. Step 4: Simplify right side
    14,583.74x = 103,247,398.95
  5. Step 5: Solve for x
    x = 103,247,398.95/14,583.74
  6. Step 6: Final answer
    x = 7,079.62

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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.