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Finding the Fourth Proportional to 14,202.56, 21,303.86 and 5,437.49

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Solution

The fourth proportional to 14,202.56, 21,303.86 and 5,437.49 is: 8,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.56 : 21,303.86 = 5,437.49 : x
  2. Step 2: Convert to fraction form
    14,202.56/21,303.86 = 5,437.49/x
  3. Step 3: Cross multiply
    14,202.56x = 21,303.86 × 5,437.49
  4. Step 4: Simplify right side
    14,202.56x = 115,839,392.00
  5. Step 5: Solve for x
    x = 115,839,392.00/14,202.56
  6. Step 6: Final answer
    x = 8,156.23

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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.