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Finding the Fourth Proportional to 14,411.53, 21,619.54 and 6,091.58

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Solution

The fourth proportional to 14,411.53, 21,619.54 and 6,091.58 is: 9,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.53 : 21,619.54 = 6,091.58 : x
  2. Step 2: Convert to fraction form
    14,411.53/21,619.54 = 6,091.58/x
  3. Step 3: Cross multiply
    14,411.53x = 21,619.54 × 6,091.58
  4. Step 4: Simplify right side
    14,411.53x = 131,697,157.47
  5. Step 5: Solve for x
    x = 131,697,157.47/14,411.53
  6. Step 6: Final answer
    x = 9,138.32

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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.