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Finding the Fourth Proportional to 13,638.15, 18,828.99 and 9,396.77

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Solution

The fourth proportional to 13,638.15, 18,828.99 and 9,396.77 is: 12,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.15 : 18,828.99 = 9,396.77 : x
  2. Step 2: Convert to fraction form
    13,638.15/18,828.99 = 9,396.77/x
  3. Step 3: Cross multiply
    13,638.15x = 18,828.99 × 9,396.77
  4. Step 4: Simplify right side
    13,638.15x = 176,931,594.22
  5. Step 5: Solve for x
    x = 176,931,594.22/13,638.15
  6. Step 6: Final answer
    x = 12,973.28

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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.