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Finding the Fourth Proportional to 15,714.35, 21,683.42 and 8,908.00

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Solution

The fourth proportional to 15,714.35, 21,683.42 and 8,908.00 is: 12,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.35 : 21,683.42 = 8,908.00 : x
  2. Step 2: Convert to fraction form
    15,714.35/21,683.42 = 8,908.00/x
  3. Step 3: Cross multiply
    15,714.35x = 21,683.42 × 8,908.00
  4. Step 4: Simplify right side
    15,714.35x = 193,155,926.05
  5. Step 5: Solve for x
    x = 193,155,926.05/15,714.35
  6. Step 6: Final answer
    x = 12,291.69

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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.