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Finding the Fourth Proportional to 23,184.34, 31,994.53 and 12,573.95

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Solution

The fourth proportional to 23,184.34, 31,994.53 and 12,573.95 is: 17,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.34 : 31,994.53 = 12,573.95 : x
  2. Step 2: Convert to fraction form
    23,184.34/31,994.53 = 12,573.95/x
  3. Step 3: Cross multiply
    23,184.34x = 31,994.53 × 12,573.95
  4. Step 4: Simplify right side
    23,184.34x = 402,297,429.09
  5. Step 5: Solve for x
    x = 402,297,429.09/23,184.34
  6. Step 6: Final answer
    x = 17,352.12

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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.