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Finding the Fourth Proportional to 30,402.72, 45,603.81 and 12,870

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Solution

The fourth proportional to 30,402.72, 45,603.81 and 12,870 is: 19,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.72 : 45,603.81 = 12,870 : x
  2. Step 2: Convert to fraction form
    30,402.72/45,603.81 = 12,870/x
  3. Step 3: Cross multiply
    30,402.72x = 45,603.81 × 12,870
  4. Step 4: Simplify right side
    30,402.72x = 586,921,034.70
  5. Step 5: Solve for x
    x = 586,921,034.70/30,402.72
  6. Step 6: Final answer
    x = 19,304.89

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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.