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Finding the Fourth Proportional to 14,509.52, 21,733.56 and 12,038.48

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Solution

The fourth proportional to 14,509.52, 21,733.56 and 12,038.48 is: 18,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.52 : 21,733.56 = 12,038.48 : x
  2. Step 2: Convert to fraction form
    14,509.52/21,733.56 = 12,038.48/x
  3. Step 3: Cross multiply
    14,509.52x = 21,733.56 × 12,038.48
  4. Step 4: Simplify right side
    14,509.52x = 261,639,027.39
  5. Step 5: Solve for x
    x = 261,639,027.39/14,509.52
  6. Step 6: Final answer
    x = 18,032.23

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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.