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Finding the Fourth Proportional to 14,562.45, 21,842.46 and 7,534.89

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Solution

The fourth proportional to 14,562.45, 21,842.46 and 7,534.89 is: 11,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.45 : 21,842.46 = 7,534.89 : x
  2. Step 2: Convert to fraction form
    14,562.45/21,842.46 = 7,534.89/x
  3. Step 3: Cross multiply
    14,562.45x = 21,842.46 × 7,534.89
  4. Step 4: Simplify right side
    14,562.45x = 164,580,533.43
  5. Step 5: Solve for x
    x = 164,580,533.43/14,562.45
  6. Step 6: Final answer
    x = 11,301.71

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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.