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Finding the Fourth Proportional to 14,307.72, 19,745.94 and 8,341.32

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Solution

The fourth proportional to 14,307.72, 19,745.94 and 8,341.32 is: 11,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.72 : 19,745.94 = 8,341.32 : x
  2. Step 2: Convert to fraction form
    14,307.72/19,745.94 = 8,341.32/x
  3. Step 3: Cross multiply
    14,307.72x = 19,745.94 × 8,341.32
  4. Step 4: Simplify right side
    14,307.72x = 164,707,204.24
  5. Step 5: Solve for x
    x = 164,707,204.24/14,307.72
  6. Step 6: Final answer
    x = 11,511.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.