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Finding the Fourth Proportional to 30,381.08, 45,564.24 and 12,841.40

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Solution

The fourth proportional to 30,381.08, 45,564.24 and 12,841.40 is: 19,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381.08 : 45,564.24 = 12,841.40 : x
  2. Step 2: Convert to fraction form
    30,381.08/45,564.24 = 12,841.40/x
  3. Step 3: Cross multiply
    30,381.08x = 45,564.24 × 12,841.40
  4. Step 4: Simplify right side
    30,381.08x = 585,108,631.54
  5. Step 5: Solve for x
    x = 585,108,631.54/30,381.08
  6. Step 6: Final answer
    x = 19,258.98

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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.