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Finding the Fourth Proportional to 16,328.64, 24,493.16 and 4,641.84

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Solution

The fourth proportional to 16,328.64, 24,493.16 and 4,641.84 is: 6,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.64 : 24,493.16 = 4,641.84 : x
  2. Step 2: Convert to fraction form
    16,328.64/24,493.16 = 4,641.84/x
  3. Step 3: Cross multiply
    16,328.64x = 24,493.16 × 4,641.84
  4. Step 4: Simplify right side
    16,328.64x = 113,693,329.81
  5. Step 5: Solve for x
    x = 113,693,329.81/16,328.64
  6. Step 6: Final answer
    x = 6,962.82

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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.