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Finding the Fourth Proportional to 19,852.32, 29,779.12 and 9,986.20

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Solution

The fourth proportional to 19,852.32, 29,779.12 and 9,986.20 is: 14,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.32 : 29,779.12 = 9,986.20 : x
  2. Step 2: Convert to fraction form
    19,852.32/29,779.12 = 9,986.20/x
  3. Step 3: Cross multiply
    19,852.32x = 29,779.12 × 9,986.20
  4. Step 4: Simplify right side
    19,852.32x = 297,380,248.14
  5. Step 5: Solve for x
    x = 297,380,248.14/19,852.32
  6. Step 6: Final answer
    x = 14,979.62

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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.