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Finding the Fourth Proportional to 14,051.64, 21,061.46 and 4,689.46

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Solution

The fourth proportional to 14,051.64, 21,061.46 and 4,689.46 is: 7,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.64 : 21,061.46 = 4,689.46 : x
  2. Step 2: Convert to fraction form
    14,051.64/21,061.46 = 4,689.46/x
  3. Step 3: Cross multiply
    14,051.64x = 21,061.46 × 4,689.46
  4. Step 4: Simplify right side
    14,051.64x = 98,766,874.21
  5. Step 5: Solve for x
    x = 98,766,874.21/14,051.64
  6. Step 6: Final answer
    x = 7,028.85

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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.