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Finding the Fourth Proportional to 16,523.64, 24,787.02 and 5,430.36

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Solution

The fourth proportional to 16,523.64, 24,787.02 and 5,430.36 is: 8,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.64 : 24,787.02 = 5,430.36 : x
  2. Step 2: Convert to fraction form
    16,523.64/24,787.02 = 5,430.36/x
  3. Step 3: Cross multiply
    16,523.64x = 24,787.02 × 5,430.36
  4. Step 4: Simplify right side
    16,523.64x = 134,602,441.93
  5. Step 5: Solve for x
    x = 134,602,441.93/16,523.64
  6. Step 6: Final answer
    x = 8,146.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.