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Finding the Fourth Proportional to 12,477.60, 17,222.40 and 7,173

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Solution

The fourth proportional to 12,477.60, 17,222.40 and 7,173 is: 9,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.60 : 17,222.40 = 7,173 : x
  2. Step 2: Convert to fraction form
    12,477.60/17,222.40 = 7,173/x
  3. Step 3: Cross multiply
    12,477.60x = 17,222.40 × 7,173
  4. Step 4: Simplify right side
    12,477.60x = 123,536,275.20
  5. Step 5: Solve for x
    x = 123,536,275.20/12,477.60
  6. Step 6: Final answer
    x = 9,900.64

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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.