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Finding the Fourth Proportional to 23,165.73, 31,956.94 and 14,653.51

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Solution

The fourth proportional to 23,165.73, 31,956.94 and 14,653.51 is: 20,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165.73 : 31,956.94 = 14,653.51 : x
  2. Step 2: Convert to fraction form
    23,165.73/31,956.94 = 14,653.51/x
  3. Step 3: Cross multiply
    23,165.73x = 31,956.94 × 14,653.51
  4. Step 4: Simplify right side
    23,165.73x = 468,281,339.86
  5. Step 5: Solve for x
    x = 468,281,339.86/23,165.73
  6. Step 6: Final answer
    x = 20,214.40

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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.