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Finding the Fourth Proportional to 30,184.96, 45,260 and 11,695.36

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Solution

The fourth proportional to 30,184.96, 45,260 and 11,695.36 is: 17,536.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184.96 : 45,260 = 11,695.36 : x
  2. Step 2: Convert to fraction form
    30,184.96/45,260 = 11,695.36/x
  3. Step 3: Cross multiply
    30,184.96x = 45,260 × 11,695.36
  4. Step 4: Simplify right side
    30,184.96x = 529,331,993.60
  5. Step 5: Solve for x
    x = 529,331,993.60/30,184.96
  6. Step 6: Final answer
    x = 17,536.28

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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.