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Finding the Fourth Proportional to 16,007.64, 24,011.84 and 9,438.52

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Solution

The fourth proportional to 16,007.64, 24,011.84 and 9,438.52 is: 14,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.64 : 24,011.84 = 9,438.52 : x
  2. Step 2: Convert to fraction form
    16,007.64/24,011.84 = 9,438.52/x
  3. Step 3: Cross multiply
    16,007.64x = 24,011.84 × 9,438.52
  4. Step 4: Simplify right side
    16,007.64x = 226,636,232.08
  5. Step 5: Solve for x
    x = 226,636,232.08/16,007.64
  6. Step 6: Final answer
    x = 14,158.00

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