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Finding the Fourth Proportional to 14,116.59, 19,480.23 and 7,828.83

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Solution

The fourth proportional to 14,116.59, 19,480.23 and 7,828.83 is: 10,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.59 : 19,480.23 = 7,828.83 : x
  2. Step 2: Convert to fraction form
    14,116.59/19,480.23 = 7,828.83/x
  3. Step 3: Cross multiply
    14,116.59x = 19,480.23 × 7,828.83
  4. Step 4: Simplify right side
    14,116.59x = 152,507,409.03
  5. Step 5: Solve for x
    x = 152,507,409.03/14,116.59
  6. Step 6: Final answer
    x = 10,803.42

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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.