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Finding the Fourth Proportional to 14,019, 21,032.27 and 4,660.53

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Solution

The fourth proportional to 14,019, 21,032.27 and 4,660.53 is: 6,992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019 : 21,032.27 = 4,660.53 : x
  2. Step 2: Convert to fraction form
    14,019/21,032.27 = 4,660.53/x
  3. Step 3: Cross multiply
    14,019x = 21,032.27 × 4,660.53
  4. Step 4: Simplify right side
    14,019x = 98,021,525.30
  5. Step 5: Solve for x
    x = 98,021,525.30/14,019
  6. Step 6: Final answer
    x = 6,992.05

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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.