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Finding the Fourth Proportional to 13,123, 18,109.74 and 7,534.36

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Solution

The fourth proportional to 13,123, 18,109.74 and 7,534.36 is: 10,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123 : 18,109.74 = 7,534.36 : x
  2. Step 2: Convert to fraction form
    13,123/18,109.74 = 7,534.36/x
  3. Step 3: Cross multiply
    13,123x = 18,109.74 × 7,534.36
  4. Step 4: Simplify right side
    13,123x = 136,445,300.67
  5. Step 5: Solve for x
    x = 136,445,300.67/13,123
  6. Step 6: Final answer
    x = 10,397.42

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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.