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Finding the Fourth Proportional to 12,374.93, 18,537.26 and 9,880.34

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Solution

The fourth proportional to 12,374.93, 18,537.26 and 9,880.34 is: 14,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.93 : 18,537.26 = 9,880.34 : x
  2. Step 2: Convert to fraction form
    12,374.93/18,537.26 = 9,880.34/x
  3. Step 3: Cross multiply
    12,374.93x = 18,537.26 × 9,880.34
  4. Step 4: Simplify right side
    12,374.93x = 183,154,289.38
  5. Step 5: Solve for x
    x = 183,154,289.38/12,374.93
  6. Step 6: Final answer
    x = 14,800.44

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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.