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Finding the Fourth Proportional to 12,322.70, 17,004 and 7,287.10

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Solution

The fourth proportional to 12,322.70, 17,004 and 7,287.10 is: 10,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.70 : 17,004 = 7,287.10 : x
  2. Step 2: Convert to fraction form
    12,322.70/17,004 = 7,287.10/x
  3. Step 3: Cross multiply
    12,322.70x = 17,004 × 7,287.10
  4. Step 4: Simplify right side
    12,322.70x = 123,909,848.40
  5. Step 5: Solve for x
    x = 123,909,848.40/12,322.70
  6. Step 6: Final answer
    x = 10,055.41

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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.