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Finding the Fourth Proportional to 12,548.34, 18,742.98 and 11,828.58

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Solution

The fourth proportional to 12,548.34, 18,742.98 and 11,828.58 is: 17,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.34 : 18,742.98 = 11,828.58 : x
  2. Step 2: Convert to fraction form
    12,548.34/18,742.98 = 11,828.58/x
  3. Step 3: Cross multiply
    12,548.34x = 18,742.98 × 11,828.58
  4. Step 4: Simplify right side
    12,548.34x = 221,702,838.37
  5. Step 5: Solve for x
    x = 221,702,838.37/12,548.34
  6. Step 6: Final answer
    x = 17,667.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.