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Finding the Fourth Proportional to 14,233.59, 21,349.91 and 6,442.40

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Solution

The fourth proportional to 14,233.59, 21,349.91 and 6,442.40 is: 9,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.59 : 21,349.91 = 6,442.40 : x
  2. Step 2: Convert to fraction form
    14,233.59/21,349.91 = 6,442.40/x
  3. Step 3: Cross multiply
    14,233.59x = 21,349.91 × 6,442.40
  4. Step 4: Simplify right side
    14,233.59x = 137,544,729.66
  5. Step 5: Solve for x
    x = 137,544,729.66/14,233.59
  6. Step 6: Final answer
    x = 9,663.39

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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.