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Finding the Fourth Proportional to 14,653.50, 21,983.73 and 4,792.77

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Solution

The fourth proportional to 14,653.50, 21,983.73 and 4,792.77 is: 7,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.50 : 21,983.73 = 4,792.77 : x
  2. Step 2: Convert to fraction form
    14,653.50/21,983.73 = 4,792.77/x
  3. Step 3: Cross multiply
    14,653.50x = 21,983.73 × 4,792.77
  4. Step 4: Simplify right side
    14,653.50x = 105,362,961.63
  5. Step 5: Solve for x
    x = 105,362,961.63/14,653.50
  6. Step 6: Final answer
    x = 7,190.29

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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.