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Finding the Fourth Proportional to 14,315.63, 19,755.57 and 8,028

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Solution

The fourth proportional to 14,315.63, 19,755.57 and 8,028 is: 11,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315.63 : 19,755.57 = 8,028 : x
  2. Step 2: Convert to fraction form
    14,315.63/19,755.57 = 8,028/x
  3. Step 3: Cross multiply
    14,315.63x = 19,755.57 × 8,028
  4. Step 4: Simplify right side
    14,315.63x = 158,597,746.07
  5. Step 5: Solve for x
    x = 158,597,746.07/14,315.63
  6. Step 6: Final answer
    x = 11,078.65

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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.