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Finding the Fourth Proportional to 12,587.36, 18,884 and 12,378.40

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Solution

The fourth proportional to 12,587.36, 18,884 and 12,378.40 is: 18,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.36 : 18,884 = 12,378.40 : x
  2. Step 2: Convert to fraction form
    12,587.36/18,884 = 12,378.40/x
  3. Step 3: Cross multiply
    12,587.36x = 18,884 × 12,378.40
  4. Step 4: Simplify right side
    12,587.36x = 233,753,705.60
  5. Step 5: Solve for x
    x = 233,753,705.60/12,587.36
  6. Step 6: Final answer
    x = 18,570.51

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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.