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Finding the Fourth Proportional to 24,465.40, 33,743.46 and 16,495

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Solution

The fourth proportional to 24,465.40, 33,743.46 and 16,495 is: 22,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.40 : 33,743.46 = 16,495 : x
  2. Step 2: Convert to fraction form
    24,465.40/33,743.46 = 16,495/x
  3. Step 3: Cross multiply
    24,465.40x = 33,743.46 × 16,495
  4. Step 4: Simplify right side
    24,465.40x = 556,598,372.70
  5. Step 5: Solve for x
    x = 556,598,372.70/24,465.40
  6. Step 6: Final answer
    x = 22,750.43

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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.