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Finding the Fourth Proportional to 13,020.80, 19,486.40 and 7,830.40

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Solution

The fourth proportional to 13,020.80, 19,486.40 and 7,830.40 is: 11,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.80 : 19,486.40 = 7,830.40 : x
  2. Step 2: Convert to fraction form
    13,020.80/19,486.40 = 7,830.40/x
  3. Step 3: Cross multiply
    13,020.80x = 19,486.40 × 7,830.40
  4. Step 4: Simplify right side
    13,020.80x = 152,586,306.56
  5. Step 5: Solve for x
    x = 152,586,306.56/13,020.80
  6. Step 6: Final answer
    x = 11,718.66

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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.