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Finding the Fourth Proportional to 12,013.94, 18,024.76 and 5,774.40

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Solution

The fourth proportional to 12,013.94, 18,024.76 and 5,774.40 is: 8,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.94 : 18,024.76 = 5,774.40 : x
  2. Step 2: Convert to fraction form
    12,013.94/18,024.76 = 5,774.40/x
  3. Step 3: Cross multiply
    12,013.94x = 18,024.76 × 5,774.40
  4. Step 4: Simplify right side
    12,013.94x = 104,082,206.71
  5. Step 5: Solve for x
    x = 104,082,206.71/12,013.94
  6. Step 6: Final answer
    x = 8,663.46

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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.