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Finding the Fourth Proportional to 12,588.45, 17,389.77 and 11,924.16

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Solution

The fourth proportional to 12,588.45, 17,389.77 and 11,924.16 is: 16,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.45 : 17,389.77 = 11,924.16 : x
  2. Step 2: Convert to fraction form
    12,588.45/17,389.77 = 11,924.16/x
  3. Step 3: Cross multiply
    12,588.45x = 17,389.77 × 11,924.16
  4. Step 4: Simplify right side
    12,588.45x = 207,358,399.84
  5. Step 5: Solve for x
    x = 207,358,399.84/12,588.45
  6. Step 6: Final answer
    x = 16,472.12

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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.