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Finding the Fourth Proportional to 24,465.64, 33,769.23 and 14,397.32

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Solution

The fourth proportional to 24,465.64, 33,769.23 and 14,397.32 is: 19,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.64 : 33,769.23 = 14,397.32 : x
  2. Step 2: Convert to fraction form
    24,465.64/33,769.23 = 14,397.32/x
  3. Step 3: Cross multiply
    24,465.64x = 33,769.23 × 14,397.32
  4. Step 4: Simplify right side
    24,465.64x = 486,186,410.46
  5. Step 5: Solve for x
    x = 486,186,410.46/24,465.64
  6. Step 6: Final answer
    x = 19,872.21

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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.