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Finding the Fourth Proportional to 13,780.98, 19,019.16 and 7,812.90

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Solution

The fourth proportional to 13,780.98, 19,019.16 and 7,812.90 is: 10,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.98 : 19,019.16 = 7,812.90 : x
  2. Step 2: Convert to fraction form
    13,780.98/19,019.16 = 7,812.90/x
  3. Step 3: Cross multiply
    13,780.98x = 19,019.16 × 7,812.90
  4. Step 4: Simplify right side
    13,780.98x = 148,594,795.16
  5. Step 5: Solve for x
    x = 148,594,795.16/13,780.98
  6. Step 6: Final answer
    x = 10,782.60

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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.