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Finding the Fourth Proportional to 14,131.16, 19,501.24 and 7,758.34

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Solution

The fourth proportional to 14,131.16, 19,501.24 and 7,758.34 is: 10,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.16 : 19,501.24 = 7,758.34 : x
  2. Step 2: Convert to fraction form
    14,131.16/19,501.24 = 7,758.34/x
  3. Step 3: Cross multiply
    14,131.16x = 19,501.24 × 7,758.34
  4. Step 4: Simplify right side
    14,131.16x = 151,297,152.84
  5. Step 5: Solve for x
    x = 151,297,152.84/14,131.16
  6. Step 6: Final answer
    x = 10,706.64

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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.