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Finding the Fourth Proportional to 14,046.51, 19,384.05 and 7,758.75

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Solution

The fourth proportional to 14,046.51, 19,384.05 and 7,758.75 is: 10,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.51 : 19,384.05 = 7,758.75 : x
  2. Step 2: Convert to fraction form
    14,046.51/19,384.05 = 7,758.75/x
  3. Step 3: Cross multiply
    14,046.51x = 19,384.05 × 7,758.75
  4. Step 4: Simplify right side
    14,046.51x = 150,395,997.94
  5. Step 5: Solve for x
    x = 150,395,997.94/14,046.51
  6. Step 6: Final answer
    x = 10,707.00

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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.