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Finding the Fourth Proportional to 24,329.43, 33,574.80 and 14,258.16

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Solution

The fourth proportional to 24,329.43, 33,574.80 and 14,258.16 is: 19,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329.43 : 33,574.80 = 14,258.16 : x
  2. Step 2: Convert to fraction form
    24,329.43/33,574.80 = 14,258.16/x
  3. Step 3: Cross multiply
    24,329.43x = 33,574.80 × 14,258.16
  4. Step 4: Simplify right side
    24,329.43x = 478,714,870.37
  5. Step 5: Solve for x
    x = 478,714,870.37/24,329.43
  6. Step 6: Final answer
    x = 19,676.37

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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.