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Finding the Fourth Proportional to 24,258.71, 33,477.47 and 14,698.28

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Solution

The fourth proportional to 24,258.71, 33,477.47 and 14,698.28 is: 20,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,258.71 : 33,477.47 = 14,698.28 : x
  2. Step 2: Convert to fraction form
    24,258.71/33,477.47 = 14,698.28/x
  3. Step 3: Cross multiply
    24,258.71x = 33,477.47 × 14,698.28
  4. Step 4: Simplify right side
    24,258.71x = 492,061,293.07
  5. Step 5: Solve for x
    x = 492,061,293.07/24,258.71
  6. Step 6: Final answer
    x = 20,283.90

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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.