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Finding the Fourth Proportional to 12,587.24, 18,878.06 and 7,639.14

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Solution

The fourth proportional to 12,587.24, 18,878.06 and 7,639.14 is: 11,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.24 : 18,878.06 = 7,639.14 : x
  2. Step 2: Convert to fraction form
    12,587.24/18,878.06 = 7,639.14/x
  3. Step 3: Cross multiply
    12,587.24x = 18,878.06 × 7,639.14
  4. Step 4: Simplify right side
    12,587.24x = 144,212,143.27
  5. Step 5: Solve for x
    x = 144,212,143.27/12,587.24
  6. Step 6: Final answer
    x = 11,457.01

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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.