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Finding the Fourth Proportional to 24,164, 33,346.40 and 14,099.36

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Solution

The fourth proportional to 24,164, 33,346.40 and 14,099.36 is: 19,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,164 : 33,346.40 = 14,099.36 : x
  2. Step 2: Convert to fraction form
    24,164/33,346.40 = 14,099.36/x
  3. Step 3: Cross multiply
    24,164x = 33,346.40 × 14,099.36
  4. Step 4: Simplify right side
    24,164x = 470,162,898.30
  5. Step 5: Solve for x
    x = 470,162,898.30/24,164
  6. Step 6: Final answer
    x = 19,457.16

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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.