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Finding the Fourth Proportional to 19,780.64, 29,675.82 and 5,929.64

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Solution

The fourth proportional to 19,780.64, 29,675.82 and 5,929.64 is: 8,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.64 : 29,675.82 = 5,929.64 : x
  2. Step 2: Convert to fraction form
    19,780.64/29,675.82 = 5,929.64/x
  3. Step 3: Cross multiply
    19,780.64x = 29,675.82 × 5,929.64
  4. Step 4: Simplify right side
    19,780.64x = 175,966,929.30
  5. Step 5: Solve for x
    x = 175,966,929.30/19,780.64
  6. Step 6: Final answer
    x = 8,895.92

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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.