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Finding the Fourth Proportional to 14,900.70, 22,343.40 and 7,884.50

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Solution

The fourth proportional to 14,900.70, 22,343.40 and 7,884.50 is: 11,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.70 : 22,343.40 = 7,884.50 : x
  2. Step 2: Convert to fraction form
    14,900.70/22,343.40 = 7,884.50/x
  3. Step 3: Cross multiply
    14,900.70x = 22,343.40 × 7,884.50
  4. Step 4: Simplify right side
    14,900.70x = 176,166,537.30
  5. Step 5: Solve for x
    x = 176,166,537.30/14,900.70
  6. Step 6: Final answer
    x = 11,822.70

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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.