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Finding the Fourth Proportional to 30,214.80, 45,339.96 and 12,683.28

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Solution

The fourth proportional to 30,214.80, 45,339.96 and 12,683.28 is: 19,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.80 : 45,339.96 = 12,683.28 : x
  2. Step 2: Convert to fraction form
    30,214.80/45,339.96 = 12,683.28/x
  3. Step 3: Cross multiply
    30,214.80x = 45,339.96 × 12,683.28
  4. Step 4: Simplify right side
    30,214.80x = 575,059,407.87
  5. Step 5: Solve for x
    x = 575,059,407.87/30,214.80
  6. Step 6: Final answer
    x = 19,032.38

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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.