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Finding the Fourth Proportional to 30,397.95, 45,600.57 and 12,865.50

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Solution

The fourth proportional to 30,397.95, 45,600.57 and 12,865.50 is: 19,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.95 : 45,600.57 = 12,865.50 : x
  2. Step 2: Convert to fraction form
    30,397.95/45,600.57 = 12,865.50/x
  3. Step 3: Cross multiply
    30,397.95x = 45,600.57 × 12,865.50
  4. Step 4: Simplify right side
    30,397.95x = 586,674,133.34
  5. Step 5: Solve for x
    x = 586,674,133.34/30,397.95
  6. Step 6: Final answer
    x = 19,299.79

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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.