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Finding the Fourth Proportional to 30,402.30, 45,579.15 and 12,857.70

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Solution

The fourth proportional to 30,402.30, 45,579.15 and 12,857.70 is: 19,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.30 : 45,579.15 = 12,857.70 : x
  2. Step 2: Convert to fraction form
    30,402.30/45,579.15 = 12,857.70/x
  3. Step 3: Cross multiply
    30,402.30x = 45,579.15 × 12,857.70
  4. Step 4: Simplify right side
    30,402.30x = 586,043,036.96
  5. Step 5: Solve for x
    x = 586,043,036.96/30,402.30
  6. Step 6: Final answer
    x = 19,276.27

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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.