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Finding the Fourth Proportional to 13,686.40, 20,512.59 and 6,283

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Solution

The fourth proportional to 13,686.40, 20,512.59 and 6,283 is: 9,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.40 : 20,512.59 = 6,283 : x
  2. Step 2: Convert to fraction form
    13,686.40/20,512.59 = 6,283/x
  3. Step 3: Cross multiply
    13,686.40x = 20,512.59 × 6,283
  4. Step 4: Simplify right side
    13,686.40x = 128,880,602.97
  5. Step 5: Solve for x
    x = 128,880,602.97/13,686.40
  6. Step 6: Final answer
    x = 9,416.69

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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.