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Finding the Fourth Proportional to 14,533.66, 21,802.02 and 5,174.56

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Solution

The fourth proportional to 14,533.66, 21,802.02 and 5,174.56 is: 7,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.66 : 21,802.02 = 5,174.56 : x
  2. Step 2: Convert to fraction form
    14,533.66/21,802.02 = 5,174.56/x
  3. Step 3: Cross multiply
    14,533.66x = 21,802.02 × 5,174.56
  4. Step 4: Simplify right side
    14,533.66x = 112,815,860.61
  5. Step 5: Solve for x
    x = 112,815,860.61/14,533.66
  6. Step 6: Final answer
    x = 7,762.38

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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.