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Finding the Fourth Proportional to 14,065.54, 19,409.76 and 7,692.46

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Solution

The fourth proportional to 14,065.54, 19,409.76 and 7,692.46 is: 10,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.54 : 19,409.76 = 7,692.46 : x
  2. Step 2: Convert to fraction form
    14,065.54/19,409.76 = 7,692.46/x
  3. Step 3: Cross multiply
    14,065.54x = 19,409.76 × 7,692.46
  4. Step 4: Simplify right side
    14,065.54x = 149,308,802.41
  5. Step 5: Solve for x
    x = 149,308,802.41/14,065.54
  6. Step 6: Final answer
    x = 10,615.22

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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.