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Finding the Fourth Proportional to 23,184.64, 31,994.90 and 12,574.45

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Solution

The fourth proportional to 23,184.64, 31,994.90 and 12,574.45 is: 17,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.64 : 31,994.90 = 12,574.45 : x
  2. Step 2: Convert to fraction form
    23,184.64/31,994.90 = 12,574.45/x
  3. Step 3: Cross multiply
    23,184.64x = 31,994.90 × 12,574.45
  4. Step 4: Simplify right side
    23,184.64x = 402,318,270.31
  5. Step 5: Solve for x
    x = 402,318,270.31/23,184.64
  6. Step 6: Final answer
    x = 17,352.79

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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.