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Finding the Fourth Proportional to 12,710.96, 19,065.68 and 7,549.68

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Solution

The fourth proportional to 12,710.96, 19,065.68 and 7,549.68 is: 11,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.96 : 19,065.68 = 7,549.68 : x
  2. Step 2: Convert to fraction form
    12,710.96/19,065.68 = 7,549.68/x
  3. Step 3: Cross multiply
    12,710.96x = 19,065.68 × 7,549.68
  4. Step 4: Simplify right side
    12,710.96x = 143,939,782.98
  5. Step 5: Solve for x
    x = 143,939,782.98/12,710.96
  6. Step 6: Final answer
    x = 11,324.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.