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Finding the Fourth Proportional to 12,503.50, 18,740.64 and 6,954.22

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Solution

The fourth proportional to 12,503.50, 18,740.64 and 6,954.22 is: 10,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.50 : 18,740.64 = 6,954.22 : x
  2. Step 2: Convert to fraction form
    12,503.50/18,740.64 = 6,954.22/x
  3. Step 3: Cross multiply
    12,503.50x = 18,740.64 × 6,954.22
  4. Step 4: Simplify right side
    12,503.50x = 130,326,533.50
  5. Step 5: Solve for x
    x = 130,326,533.50/12,503.50
  6. Step 6: Final answer
    x = 10,423.20

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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.