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Finding the Fourth Proportional to 14,772.34, 20,384.78 and 8,312.92

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Solution

The fourth proportional to 14,772.34, 20,384.78 and 8,312.92 is: 11,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.34 : 20,384.78 = 8,312.92 : x
  2. Step 2: Convert to fraction form
    14,772.34/20,384.78 = 8,312.92/x
  3. Step 3: Cross multiply
    14,772.34x = 20,384.78 × 8,312.92
  4. Step 4: Simplify right side
    14,772.34x = 169,457,045.36
  5. Step 5: Solve for x
    x = 169,457,045.36/14,772.34
  6. Step 6: Final answer
    x = 11,471.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.