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Finding the Fourth Proportional to 13,898.69, 19,180.08 and 7,525.29

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Solution

The fourth proportional to 13,898.69, 19,180.08 and 7,525.29 is: 10,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.69 : 19,180.08 = 7,525.29 : x
  2. Step 2: Convert to fraction form
    13,898.69/19,180.08 = 7,525.29/x
  3. Step 3: Cross multiply
    13,898.69x = 19,180.08 × 7,525.29
  4. Step 4: Simplify right side
    13,898.69x = 144,335,664.22
  5. Step 5: Solve for x
    x = 144,335,664.22/13,898.69
  6. Step 6: Final answer
    x = 10,384.84

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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.