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Finding the Fourth Proportional to 14,563.76, 21,845.62 and 4,175.50

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Solution

The fourth proportional to 14,563.76, 21,845.62 and 4,175.50 is: 6,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.76 : 21,845.62 = 4,175.50 : x
  2. Step 2: Convert to fraction form
    14,563.76/21,845.62 = 4,175.50/x
  3. Step 3: Cross multiply
    14,563.76x = 21,845.62 × 4,175.50
  4. Step 4: Simplify right side
    14,563.76x = 91,216,386.31
  5. Step 5: Solve for x
    x = 91,216,386.31/14,563.76
  6. Step 6: Final answer
    x = 6,263.24

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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.