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Finding the Fourth Proportional to 14,772.34, 22,158.52 and 4,384

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Solution

The fourth proportional to 14,772.34, 22,158.52 and 4,384 is: 6,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.34 : 22,158.52 = 4,384 : x
  2. Step 2: Convert to fraction form
    14,772.34/22,158.52 = 4,384/x
  3. Step 3: Cross multiply
    14,772.34x = 22,158.52 × 4,384
  4. Step 4: Simplify right side
    14,772.34x = 97,142,951.68
  5. Step 5: Solve for x
    x = 97,142,951.68/14,772.34
  6. Step 6: Final answer
    x = 6,576.00

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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.