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Finding the Fourth Proportional to 13,602.52, 20,407.59 and 4,838.32

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Solution

The fourth proportional to 13,602.52, 20,407.59 and 4,838.32 is: 7,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.52 : 20,407.59 = 4,838.32 : x
  2. Step 2: Convert to fraction form
    13,602.52/20,407.59 = 4,838.32/x
  3. Step 3: Cross multiply
    13,602.52x = 20,407.59 × 4,838.32
  4. Step 4: Simplify right side
    13,602.52x = 98,738,450.85
  5. Step 5: Solve for x
    x = 98,738,450.85/13,602.52
  6. Step 6: Final answer
    x = 7,258.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.