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Finding the Fourth Proportional to 12,901.86, 19,352.81 and 3,542.01

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Solution

The fourth proportional to 12,901.86, 19,352.81 and 3,542.01 is: 5,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.86 : 19,352.81 = 3,542.01 : x
  2. Step 2: Convert to fraction form
    12,901.86/19,352.81 = 3,542.01/x
  3. Step 3: Cross multiply
    12,901.86x = 19,352.81 × 3,542.01
  4. Step 4: Simplify right side
    12,901.86x = 68,547,732.07
  5. Step 5: Solve for x
    x = 68,547,732.07/12,901.86
  6. Step 6: Final answer
    x = 5,313.01

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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.