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Finding the Fourth Proportional to 19,807.09, 29,690.64 and 12,416.74

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Solution

The fourth proportional to 19,807.09, 29,690.64 and 12,416.74 is: 18,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.09 : 29,690.64 = 12,416.74 : x
  2. Step 2: Convert to fraction form
    19,807.09/29,690.64 = 12,416.74/x
  3. Step 3: Cross multiply
    19,807.09x = 29,690.64 × 12,416.74
  4. Step 4: Simplify right side
    19,807.09x = 368,660,957.31
  5. Step 5: Solve for x
    x = 368,660,957.31/19,807.09
  6. Step 6: Final answer
    x = 18,612.58

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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.