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Finding the Fourth Proportional to 14,534.50, 21,804.99 and 5,300.50

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Solution

The fourth proportional to 14,534.50, 21,804.99 and 5,300.50 is: 7,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.50 : 21,804.99 = 5,300.50 : x
  2. Step 2: Convert to fraction form
    14,534.50/21,804.99 = 5,300.50/x
  3. Step 3: Cross multiply
    14,534.50x = 21,804.99 × 5,300.50
  4. Step 4: Simplify right side
    14,534.50x = 115,577,349.50
  5. Step 5: Solve for x
    x = 115,577,349.50/14,534.50
  6. Step 6: Final answer
    x = 7,951.93

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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.