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Finding the Fourth Proportional to 15,706.60, 21,685.26 and 10,408.60

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Solution

The fourth proportional to 15,706.60, 21,685.26 and 10,408.60 is: 14,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.60 : 21,685.26 = 10,408.60 : x
  2. Step 2: Convert to fraction form
    15,706.60/21,685.26 = 10,408.60/x
  3. Step 3: Cross multiply
    15,706.60x = 21,685.26 × 10,408.60
  4. Step 4: Simplify right side
    15,706.60x = 225,713,197.24
  5. Step 5: Solve for x
    x = 225,713,197.24/15,706.60
  6. Step 6: Final answer
    x = 14,370.60

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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.