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Finding the Fourth Proportional to 24,461.40, 33,757.10 and 13,283.48

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Solution

The fourth proportional to 24,461.40, 33,757.10 and 13,283.48 is: 18,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.40 : 33,757.10 = 13,283.48 : x
  2. Step 2: Convert to fraction form
    24,461.40/33,757.10 = 13,283.48/x
  3. Step 3: Cross multiply
    24,461.40x = 33,757.10 × 13,283.48
  4. Step 4: Simplify right side
    24,461.40x = 448,411,762.71
  5. Step 5: Solve for x
    x = 448,411,762.71/24,461.40
  6. Step 6: Final answer
    x = 18,331.40

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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.