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Finding the Fourth Proportional to 13,898.81, 19,180.36 and 7,525.40

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Solution

The fourth proportional to 13,898.81, 19,180.36 and 7,525.40 is: 10,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.81 : 19,180.36 = 7,525.40 : x
  2. Step 2: Convert to fraction form
    13,898.81/19,180.36 = 7,525.40/x
  3. Step 3: Cross multiply
    13,898.81x = 19,180.36 × 7,525.40
  4. Step 4: Simplify right side
    13,898.81x = 144,339,947.91
  5. Step 5: Solve for x
    x = 144,339,947.91/13,898.81
  6. Step 6: Final answer
    x = 10,385.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.