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Finding the Fourth Proportional to 14,131.05, 19,501.08 and 7,758.24

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Solution

The fourth proportional to 14,131.05, 19,501.08 and 7,758.24 is: 10,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.05 : 19,501.08 = 7,758.24 : x
  2. Step 2: Convert to fraction form
    14,131.05/19,501.08 = 7,758.24/x
  3. Step 3: Cross multiply
    14,131.05x = 19,501.08 × 7,758.24
  4. Step 4: Simplify right side
    14,131.05x = 151,294,058.90
  5. Step 5: Solve for x
    x = 151,294,058.90/14,131.05
  6. Step 6: Final answer
    x = 10,706.50

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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.