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Finding the Fourth Proportional to 13,780.41, 19,018.46 and 7,811.45

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Solution

The fourth proportional to 13,780.41, 19,018.46 and 7,811.45 is: 10,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.41 : 19,018.46 = 7,811.45 : x
  2. Step 2: Convert to fraction form
    13,780.41/19,018.46 = 7,811.45/x
  3. Step 3: Cross multiply
    13,780.41x = 19,018.46 × 7,811.45
  4. Step 4: Simplify right side
    13,780.41x = 148,561,749.37
  5. Step 5: Solve for x
    x = 148,561,749.37/13,780.41
  6. Step 6: Final answer
    x = 10,780.65

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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.