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Finding the Fourth Proportional to 13,838.58, 19,101.34 and 9,648.18

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Solution

The fourth proportional to 13,838.58, 19,101.34 and 9,648.18 is: 13,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.58 : 19,101.34 = 9,648.18 : x
  2. Step 2: Convert to fraction form
    13,838.58/19,101.34 = 9,648.18/x
  3. Step 3: Cross multiply
    13,838.58x = 19,101.34 × 9,648.18
  4. Step 4: Simplify right side
    13,838.58x = 184,293,166.56
  5. Step 5: Solve for x
    x = 184,293,166.56/13,838.58
  6. Step 6: Final answer
    x = 13,317.35

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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.