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Finding the Fourth Proportional to 14,764.16, 22,134.61 and 7,364.81

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Solution

The fourth proportional to 14,764.16, 22,134.61 and 7,364.81 is: 11,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764.16 : 22,134.61 = 7,364.81 : x
  2. Step 2: Convert to fraction form
    14,764.16/22,134.61 = 7,364.81/x
  3. Step 3: Cross multiply
    14,764.16x = 22,134.61 × 7,364.81
  4. Step 4: Simplify right side
    14,764.16x = 163,017,049.58
  5. Step 5: Solve for x
    x = 163,017,049.58/14,764.16
  6. Step 6: Final answer
    x = 11,041.41

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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.