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Finding the Fourth Proportional to 12,477.53, 18,706.37 and 7,206.55

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Solution

The fourth proportional to 12,477.53, 18,706.37 and 7,206.55 is: 10,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.53 : 18,706.37 = 7,206.55 : x
  2. Step 2: Convert to fraction form
    12,477.53/18,706.37 = 7,206.55/x
  3. Step 3: Cross multiply
    12,477.53x = 18,706.37 × 7,206.55
  4. Step 4: Simplify right side
    12,477.53x = 134,808,307.92
  5. Step 5: Solve for x
    x = 134,808,307.92/12,477.53
  6. Step 6: Final answer
    x = 10,804.08

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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.