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Finding the Fourth Proportional to 15,770.64, 21,772.68 and 10,472.72

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Solution

The fourth proportional to 15,770.64, 21,772.68 and 10,472.72 is: 14,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.64 : 21,772.68 = 10,472.72 : x
  2. Step 2: Convert to fraction form
    15,770.64/21,772.68 = 10,472.72/x
  3. Step 3: Cross multiply
    15,770.64x = 21,772.68 × 10,472.72
  4. Step 4: Simplify right side
    15,770.64x = 228,019,181.29
  5. Step 5: Solve for x
    x = 228,019,181.29/15,770.64
  6. Step 6: Final answer
    x = 14,458.46

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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.