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Finding the Fourth Proportional to 19,770.32, 29,658.84 and 9,907.76

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Solution

The fourth proportional to 19,770.32, 29,658.84 and 9,907.76 is: 14,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.32 : 29,658.84 = 9,907.76 : x
  2. Step 2: Convert to fraction form
    19,770.32/29,658.84 = 9,907.76/x
  3. Step 3: Cross multiply
    19,770.32x = 29,658.84 × 9,907.76
  4. Step 4: Simplify right side
    19,770.32x = 293,852,668.60
  5. Step 5: Solve for x
    x = 293,852,668.60/19,770.32
  6. Step 6: Final answer
    x = 14,863.32

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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.