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Finding the Fourth Proportional to 14,131.34, 19,501.50 and 7,758.53

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Solution

The fourth proportional to 14,131.34, 19,501.50 and 7,758.53 is: 10,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.34 : 19,501.50 = 7,758.53 : x
  2. Step 2: Convert to fraction form
    14,131.34/19,501.50 = 7,758.53/x
  3. Step 3: Cross multiply
    14,131.34x = 19,501.50 × 7,758.53
  4. Step 4: Simplify right side
    14,131.34x = 151,302,836.49
  5. Step 5: Solve for x
    x = 151,302,836.49/14,131.34
  6. Step 6: Final answer
    x = 10,706.90

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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.