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Finding the Fourth Proportional to 14,748.63, 20,343.81 and 8,775.84

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Solution

The fourth proportional to 14,748.63, 20,343.81 and 8,775.84 is: 12,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,748.63 : 20,343.81 = 8,775.84 : x
  2. Step 2: Convert to fraction form
    14,748.63/20,343.81 = 8,775.84/x
  3. Step 3: Cross multiply
    14,748.63x = 20,343.81 × 8,775.84
  4. Step 4: Simplify right side
    14,748.63x = 178,534,081.38
  5. Step 5: Solve for x
    x = 178,534,081.38/14,748.63
  6. Step 6: Final answer
    x = 12,105.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.