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Finding the Fourth Proportional to 24,495.63, 33,802.98 and 14,424.49

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Solution

The fourth proportional to 24,495.63, 33,802.98 and 14,424.49 is: 19,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.63 : 33,802.98 = 14,424.49 : x
  2. Step 2: Convert to fraction form
    24,495.63/33,802.98 = 14,424.49/x
  3. Step 3: Cross multiply
    24,495.63x = 33,802.98 × 14,424.49
  4. Step 4: Simplify right side
    24,495.63x = 487,590,819.38
  5. Step 5: Solve for x
    x = 487,590,819.38/24,495.63
  6. Step 6: Final answer
    x = 19,905.22

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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.