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Finding the Fourth Proportional to 24,783.64, 34,200.86 and 13,453.16

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Solution

The fourth proportional to 24,783.64, 34,200.86 and 13,453.16 is: 18,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.64 : 34,200.86 = 13,453.16 : x
  2. Step 2: Convert to fraction form
    24,783.64/34,200.86 = 13,453.16/x
  3. Step 3: Cross multiply
    24,783.64x = 34,200.86 × 13,453.16
  4. Step 4: Simplify right side
    24,783.64x = 460,109,504.35
  5. Step 5: Solve for x
    x = 460,109,504.35/24,783.64
  6. Step 6: Final answer
    x = 18,565.05

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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.