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Finding the Fourth Proportional to 14,830.70, 22,246.05 and 7,832.30

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Solution

The fourth proportional to 14,830.70, 22,246.05 and 7,832.30 is: 11,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.70 : 22,246.05 = 7,832.30 : x
  2. Step 2: Convert to fraction form
    14,830.70/22,246.05 = 7,832.30/x
  3. Step 3: Cross multiply
    14,830.70x = 22,246.05 × 7,832.30
  4. Step 4: Simplify right side
    14,830.70x = 174,237,737.42
  5. Step 5: Solve for x
    x = 174,237,737.42/14,830.70
  6. Step 6: Final answer
    x = 11,748.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.