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Finding the Fourth Proportional to 13,780.48, 19,018.55 and 7,811.51

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Solution

The fourth proportional to 13,780.48, 19,018.55 and 7,811.51 is: 10,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.48 : 19,018.55 = 7,811.51 : x
  2. Step 2: Convert to fraction form
    13,780.48/19,018.55 = 7,811.51/x
  3. Step 3: Cross multiply
    13,780.48x = 19,018.55 × 7,811.51
  4. Step 4: Simplify right side
    13,780.48x = 148,563,593.51
  5. Step 5: Solve for x
    x = 148,563,593.51/13,780.48
  6. Step 6: Final answer
    x = 10,780.73

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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.