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Finding the Fourth Proportional to 14,509.74, 20,025.06 and 8,542.90

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Solution

The fourth proportional to 14,509.74, 20,025.06 and 8,542.90 is: 11,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.74 : 20,025.06 = 8,542.90 : x
  2. Step 2: Convert to fraction form
    14,509.74/20,025.06 = 8,542.90/x
  3. Step 3: Cross multiply
    14,509.74x = 20,025.06 × 8,542.90
  4. Step 4: Simplify right side
    14,509.74x = 171,072,085.07
  5. Step 5: Solve for x
    x = 171,072,085.07/14,509.74
  6. Step 6: Final answer
    x = 11,790.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.