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Finding the Fourth Proportional to 14,749, 20,353.64 and 8,034.72

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Solution

The fourth proportional to 14,749, 20,353.64 and 8,034.72 is: 11,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,749 : 20,353.64 = 8,034.72 : x
  2. Step 2: Convert to fraction form
    14,749/20,353.64 = 8,034.72/x
  3. Step 3: Cross multiply
    14,749x = 20,353.64 × 8,034.72
  4. Step 4: Simplify right side
    14,749x = 163,535,798.38
  5. Step 5: Solve for x
    x = 163,535,798.38/14,749
  6. Step 6: Final answer
    x = 11,087.92

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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.