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Finding the Fourth Proportional to 24,852.64, 34,295.44 and 13,674.40

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Solution

The fourth proportional to 24,852.64, 34,295.44 and 13,674.40 is: 18,870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.64 : 34,295.44 = 13,674.40 : x
  2. Step 2: Convert to fraction form
    24,852.64/34,295.44 = 13,674.40/x
  3. Step 3: Cross multiply
    24,852.64x = 34,295.44 × 13,674.40
  4. Step 4: Simplify right side
    24,852.64x = 468,969,564.74
  5. Step 5: Solve for x
    x = 468,969,564.74/24,852.64
  6. Step 6: Final answer
    x = 18,870.01

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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.