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Finding the Fourth Proportional to 30,764.68, 42,459.16 and 17,339.22

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Solution

The fourth proportional to 30,764.68, 42,459.16 and 17,339.22 is: 23,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.68 : 42,459.16 = 17,339.22 : x
  2. Step 2: Convert to fraction form
    30,764.68/42,459.16 = 17,339.22/x
  3. Step 3: Cross multiply
    30,764.68x = 42,459.16 × 17,339.22
  4. Step 4: Simplify right side
    30,764.68x = 736,208,716.26
  5. Step 5: Solve for x
    x = 736,208,716.26/30,764.68
  6. Step 6: Final answer
    x = 23,930.32

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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.