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Finding the Fourth Proportional to 24,461.68, 33,756.36 and 14,389.84

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Solution

The fourth proportional to 24,461.68, 33,756.36 and 14,389.84 is: 19,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.68 : 33,756.36 = 14,389.84 : x
  2. Step 2: Convert to fraction form
    24,461.68/33,756.36 = 14,389.84/x
  3. Step 3: Cross multiply
    24,461.68x = 33,756.36 × 14,389.84
  4. Step 4: Simplify right side
    24,461.68x = 485,748,619.38
  5. Step 5: Solve for x
    x = 485,748,619.38/24,461.68
  6. Step 6: Final answer
    x = 19,857.53

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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.