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Finding the Fourth Proportional to 14,709.61, 20,298.76 and 8,420.77

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Solution

The fourth proportional to 14,709.61, 20,298.76 and 8,420.77 is: 11,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.61 : 20,298.76 = 8,420.77 : x
  2. Step 2: Convert to fraction form
    14,709.61/20,298.76 = 8,420.77/x
  3. Step 3: Cross multiply
    14,709.61x = 20,298.76 × 8,420.77
  4. Step 4: Simplify right side
    14,709.61x = 170,931,189.25
  5. Step 5: Solve for x
    x = 170,931,189.25/14,709.61
  6. Step 6: Final answer
    x = 11,620.38

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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.