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Finding the Fourth Proportional to 23,683, 35,514.14 and 12,587.02

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Solution

The fourth proportional to 23,683, 35,514.14 and 12,587.02 is: 18,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683 : 35,514.14 = 12,587.02 : x
  2. Step 2: Convert to fraction form
    23,683/35,514.14 = 12,587.02/x
  3. Step 3: Cross multiply
    23,683x = 35,514.14 × 12,587.02
  4. Step 4: Simplify right side
    23,683x = 447,017,190.46
  5. Step 5: Solve for x
    x = 447,017,190.46/23,683
  6. Step 6: Final answer
    x = 18,875.02

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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.