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Finding the Fourth Proportional to 21,344.16, 29,457.60 and 12,389.74

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Solution

The fourth proportional to 21,344.16, 29,457.60 and 12,389.74 is: 17,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.16 : 29,457.60 = 12,389.74 : x
  2. Step 2: Convert to fraction form
    21,344.16/29,457.60 = 12,389.74/x
  3. Step 3: Cross multiply
    21,344.16x = 29,457.60 × 12,389.74
  4. Step 4: Simplify right side
    21,344.16x = 364,972,005.02
  5. Step 5: Solve for x
    x = 364,972,005.02/21,344.16
  6. Step 6: Final answer
    x = 17,099.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.