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Finding the Fourth Proportional to 14,662.62, 20,210.31 and 12,005.42

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Solution

The fourth proportional to 14,662.62, 20,210.31 and 12,005.42 is: 16,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.62 : 20,210.31 = 12,005.42 : x
  2. Step 2: Convert to fraction form
    14,662.62/20,210.31 = 12,005.42/x
  3. Step 3: Cross multiply
    14,662.62x = 20,210.31 × 12,005.42
  4. Step 4: Simplify right side
    14,662.62x = 242,633,158.83
  5. Step 5: Solve for x
    x = 242,633,158.83/14,662.62
  6. Step 6: Final answer
    x = 16,547.74

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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.