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Finding the Fourth Proportional to 14,661.50, 21,989.94 and 4,800.56

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Solution

The fourth proportional to 14,661.50, 21,989.94 and 4,800.56 is: 7,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.50 : 21,989.94 = 4,800.56 : x
  2. Step 2: Convert to fraction form
    14,661.50/21,989.94 = 4,800.56/x
  3. Step 3: Cross multiply
    14,661.50x = 21,989.94 × 4,800.56
  4. Step 4: Simplify right side
    14,661.50x = 105,564,026.37
  5. Step 5: Solve for x
    x = 105,564,026.37/14,661.50
  6. Step 6: Final answer
    x = 7,200.08

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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.