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Finding the Fourth Proportional to 14,569.02, 21,857.04 and 4,180.50

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Solution

The fourth proportional to 14,569.02, 21,857.04 and 4,180.50 is: 6,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.02 : 21,857.04 = 4,180.50 : x
  2. Step 2: Convert to fraction form
    14,569.02/21,857.04 = 4,180.50/x
  3. Step 3: Cross multiply
    14,569.02x = 21,857.04 × 4,180.50
  4. Step 4: Simplify right side
    14,569.02x = 91,373,355.72
  5. Step 5: Solve for x
    x = 91,373,355.72/14,569.02
  6. Step 6: Final answer
    x = 6,271.76

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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.