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Finding the Fourth Proportional to 13,785.94, 19,024.20 and 7,818.16

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Solution

The fourth proportional to 13,785.94, 19,024.20 and 7,818.16 is: 10,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.94 : 19,024.20 = 7,818.16 : x
  2. Step 2: Convert to fraction form
    13,785.94/19,024.20 = 7,818.16/x
  3. Step 3: Cross multiply
    13,785.94x = 19,024.20 × 7,818.16
  4. Step 4: Simplify right side
    13,785.94x = 148,734,239.47
  5. Step 5: Solve for x
    x = 148,734,239.47/13,785.94
  6. Step 6: Final answer
    x = 10,788.84

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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.