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Finding the Fourth Proportional to 14,704.74, 22,045.84 and 7,303.50

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Solution

The fourth proportional to 14,704.74, 22,045.84 and 7,303.50 is: 10,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.74 : 22,045.84 = 7,303.50 : x
  2. Step 2: Convert to fraction form
    14,704.74/22,045.84 = 7,303.50/x
  3. Step 3: Cross multiply
    14,704.74x = 22,045.84 × 7,303.50
  4. Step 4: Simplify right side
    14,704.74x = 161,011,774.18
  5. Step 5: Solve for x
    x = 161,011,774.18/14,704.74
  6. Step 6: Final answer
    x = 10,949.65

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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.