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Finding the Fourth Proportional to 19,770.34, 29,655.58 and 7,284.96

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Solution

The fourth proportional to 19,770.34, 29,655.58 and 7,284.96 is: 10,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.34 : 29,655.58 = 7,284.96 : x
  2. Step 2: Convert to fraction form
    19,770.34/29,655.58 = 7,284.96/x
  3. Step 3: Cross multiply
    19,770.34x = 29,655.58 × 7,284.96
  4. Step 4: Simplify right side
    19,770.34x = 216,039,714.08
  5. Step 5: Solve for x
    x = 216,039,714.08/19,770.34
  6. Step 6: Final answer
    x = 10,927.47

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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.