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Finding the Fourth Proportional to 19,069.14, 28,583.85 and 6,409.50

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Solution

The fourth proportional to 19,069.14, 28,583.85 and 6,409.50 is: 9,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,069.14 : 28,583.85 = 6,409.50 : x
  2. Step 2: Convert to fraction form
    19,069.14/28,583.85 = 6,409.50/x
  3. Step 3: Cross multiply
    19,069.14x = 28,583.85 × 6,409.50
  4. Step 4: Simplify right side
    19,069.14x = 183,208,186.58
  5. Step 5: Solve for x
    x = 183,208,186.58/19,069.14
  6. Step 6: Final answer
    x = 9,607.57

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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.