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Finding the Fourth Proportional to 14,311.51, 19,745.84 and 9,275.94

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Solution

The fourth proportional to 14,311.51, 19,745.84 and 9,275.94 is: 12,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.51 : 19,745.84 = 9,275.94 : x
  2. Step 2: Convert to fraction form
    14,311.51/19,745.84 = 9,275.94/x
  3. Step 3: Cross multiply
    14,311.51x = 19,745.84 × 9,275.94
  4. Step 4: Simplify right side
    14,311.51x = 183,161,250.28
  5. Step 5: Solve for x
    x = 183,161,250.28/14,311.51
  6. Step 6: Final answer
    x = 12,798.18

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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.