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Finding the Fourth Proportional to 14,699.76, 20,271.84 and 11,337.24

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Solution

The fourth proportional to 14,699.76, 20,271.84 and 11,337.24 is: 15,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.76 : 20,271.84 = 11,337.24 : x
  2. Step 2: Convert to fraction form
    14,699.76/20,271.84 = 11,337.24/x
  3. Step 3: Cross multiply
    14,699.76x = 20,271.84 × 11,337.24
  4. Step 4: Simplify right side
    14,699.76x = 229,826,715.32
  5. Step 5: Solve for x
    x = 229,826,715.32/14,699.76
  6. Step 6: Final answer
    x = 15,634.73

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1.5x scale

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.