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Finding the Fourth Proportional to 16,617.84, 24,931.47 and 6,764.19

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Solution

The fourth proportional to 16,617.84, 24,931.47 and 6,764.19 is: 10,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.84 : 24,931.47 = 6,764.19 : x
  2. Step 2: Convert to fraction form
    16,617.84/24,931.47 = 6,764.19/x
  3. Step 3: Cross multiply
    16,617.84x = 24,931.47 × 6,764.19
  4. Step 4: Simplify right side
    16,617.84x = 168,641,200.06
  5. Step 5: Solve for x
    x = 168,641,200.06/16,617.84
  6. Step 6: Final answer
    x = 10,148.20

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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.