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Finding the Fourth Proportional to 14,563.64, 21,798.47 and 7,533.97

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Solution

The fourth proportional to 14,563.64, 21,798.47 and 7,533.97 is: 11,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.64 : 21,798.47 = 7,533.97 : x
  2. Step 2: Convert to fraction form
    14,563.64/21,798.47 = 7,533.97/x
  3. Step 3: Cross multiply
    14,563.64x = 21,798.47 × 7,533.97
  4. Step 4: Simplify right side
    14,563.64x = 164,229,126.04
  5. Step 5: Solve for x
    x = 164,229,126.04/14,563.64
  6. Step 6: Final answer
    x = 11,276.65

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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.