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Finding the Fourth Proportional to 14,622.45, 21,935.22 and 4,762.50

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Solution

The fourth proportional to 14,622.45, 21,935.22 and 4,762.50 is: 7,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,622.45 : 21,935.22 = 4,762.50 : x
  2. Step 2: Convert to fraction form
    14,622.45/21,935.22 = 4,762.50/x
  3. Step 3: Cross multiply
    14,622.45x = 21,935.22 × 4,762.50
  4. Step 4: Simplify right side
    14,622.45x = 104,466,521.91
  5. Step 5: Solve for x
    x = 104,466,521.91/14,622.45
  6. Step 6: Final answer
    x = 7,144.25

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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.