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Finding the Fourth Proportional to 14,307.78, 21,464.31 and 4,446.42

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Solution

The fourth proportional to 14,307.78, 21,464.31 and 4,446.42 is: 6,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.78 : 21,464.31 = 4,446.42 : x
  2. Step 2: Convert to fraction form
    14,307.78/21,464.31 = 4,446.42/x
  3. Step 3: Cross multiply
    14,307.78x = 21,464.31 × 4,446.42
  4. Step 4: Simplify right side
    14,307.78x = 95,439,337.27
  5. Step 5: Solve for x
    x = 95,439,337.27/14,307.78
  6. Step 6: Final answer
    x = 6,670.45

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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.