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Finding the Fourth Proportional to 13,785, 19,017.41 and 10,788.81

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Solution

The fourth proportional to 13,785, 19,017.41 and 10,788.81 is: 14,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785 : 19,017.41 = 10,788.81 : x
  2. Step 2: Convert to fraction form
    13,785/19,017.41 = 10,788.81/x
  3. Step 3: Cross multiply
    13,785x = 19,017.41 × 10,788.81
  4. Step 4: Simplify right side
    13,785x = 205,175,169.24
  5. Step 5: Solve for x
    x = 205,175,169.24/13,785
  6. Step 6: Final answer
    x = 14,883.94

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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.