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Finding the Fourth Proportional to 35,512.16, 53,283.36 and 13,336.16

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Solution

The fourth proportional to 35,512.16, 53,283.36 and 13,336.16 is: 20,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512.16 : 53,283.36 = 13,336.16 : x
  2. Step 2: Convert to fraction form
    35,512.16/53,283.36 = 13,336.16/x
  3. Step 3: Cross multiply
    35,512.16x = 53,283.36 × 13,336.16
  4. Step 4: Simplify right side
    35,512.16x = 710,595,414.30
  5. Step 5: Solve for x
    x = 710,595,414.30/35,512.16
  6. Step 6: Final answer
    x = 20,009.92

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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.