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Finding the Fourth Proportional to 14,131.66, 19,501.93 and 7,758.84

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Solution

The fourth proportional to 14,131.66, 19,501.93 and 7,758.84 is: 10,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.66 : 19,501.93 = 7,758.84 : x
  2. Step 2: Convert to fraction form
    14,131.66/19,501.93 = 7,758.84/x
  3. Step 3: Cross multiply
    14,131.66x = 19,501.93 × 7,758.84
  4. Step 4: Simplify right side
    14,131.66x = 151,312,257.05
  5. Step 5: Solve for x
    x = 151,312,257.05/14,131.66
  6. Step 6: Final answer
    x = 10,707.33

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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.