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Finding the Fourth Proportional to 16,368.64, 24,533.92 and 9,353.58

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Solution

The fourth proportional to 16,368.64, 24,533.92 and 9,353.58 is: 14,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,368.64 : 24,533.92 = 9,353.58 : x
  2. Step 2: Convert to fraction form
    16,368.64/24,533.92 = 9,353.58/x
  3. Step 3: Cross multiply
    16,368.64x = 24,533.92 × 9,353.58
  4. Step 4: Simplify right side
    16,368.64x = 229,479,983.43
  5. Step 5: Solve for x
    x = 229,479,983.43/16,368.64
  6. Step 6: Final answer
    x = 14,019.49

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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.