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Finding the Fourth Proportional to 14,131.80, 19,502.12 and 7,758.98

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Solution

The fourth proportional to 14,131.80, 19,502.12 and 7,758.98 is: 10,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.80 : 19,502.12 = 7,758.98 : x
  2. Step 2: Convert to fraction form
    14,131.80/19,502.12 = 7,758.98/x
  3. Step 3: Cross multiply
    14,131.80x = 19,502.12 × 7,758.98
  4. Step 4: Simplify right side
    14,131.80x = 151,316,559.04
  5. Step 5: Solve for x
    x = 151,316,559.04/14,131.80
  6. Step 6: Final answer
    x = 10,707.52

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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.