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Finding the Fourth Proportional to 13,785.56, 19,026.02 and 7,818.70

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Solution

The fourth proportional to 13,785.56, 19,026.02 and 7,818.70 is: 10,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.56 : 19,026.02 = 7,818.70 : x
  2. Step 2: Convert to fraction form
    13,785.56/19,026.02 = 7,818.70/x
  3. Step 3: Cross multiply
    13,785.56x = 19,026.02 × 7,818.70
  4. Step 4: Simplify right side
    13,785.56x = 148,758,742.57
  5. Step 5: Solve for x
    x = 148,758,742.57/13,785.56
  6. Step 6: Final answer
    x = 10,790.91

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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.