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Finding the Fourth Proportional to 13,766.45, 19,000.74 and 9,051.17

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Solution

The fourth proportional to 13,766.45, 19,000.74 and 9,051.17 is: 12,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.45 : 19,000.74 = 9,051.17 : x
  2. Step 2: Convert to fraction form
    13,766.45/19,000.74 = 9,051.17/x
  3. Step 3: Cross multiply
    13,766.45x = 19,000.74 × 9,051.17
  4. Step 4: Simplify right side
    13,766.45x = 171,978,927.87
  5. Step 5: Solve for x
    x = 171,978,927.87/13,766.45
  6. Step 6: Final answer
    x = 12,492.61

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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.