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Finding the Fourth Proportional to 19,785.47, 29,678.81 and 8,686.44

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Solution

The fourth proportional to 19,785.47, 29,678.81 and 8,686.44 is: 13,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.47 : 29,678.81 = 8,686.44 : x
  2. Step 2: Convert to fraction form
    19,785.47/29,678.81 = 8,686.44/x
  3. Step 3: Cross multiply
    19,785.47x = 29,678.81 × 8,686.44
  4. Step 4: Simplify right side
    19,785.47x = 257,803,158.90
  5. Step 5: Solve for x
    x = 257,803,158.90/19,785.47
  6. Step 6: Final answer
    x = 13,029.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.