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Finding the Fourth Proportional to 13,898.34, 19,179.71 and 7,524.98

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Solution

The fourth proportional to 13,898.34, 19,179.71 and 7,524.98 is: 10,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.34 : 19,179.71 = 7,524.98 : x
  2. Step 2: Convert to fraction form
    13,898.34/19,179.71 = 7,524.98/x
  3. Step 3: Cross multiply
    13,898.34x = 19,179.71 × 7,524.98
  4. Step 4: Simplify right side
    13,898.34x = 144,326,800.63
  5. Step 5: Solve for x
    x = 144,326,800.63/13,898.34
  6. Step 6: Final answer
    x = 10,384.46

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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.