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Finding the Fourth Proportional to 19,852.58, 29,779.50 and 9,986.48

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Solution

The fourth proportional to 19,852.58, 29,779.50 and 9,986.48 is: 14,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.58 : 29,779.50 = 9,986.48 : x
  2. Step 2: Convert to fraction form
    19,852.58/29,779.50 = 9,986.48/x
  3. Step 3: Cross multiply
    19,852.58x = 29,779.50 × 9,986.48
  4. Step 4: Simplify right side
    19,852.58x = 297,392,381.16
  5. Step 5: Solve for x
    x = 297,392,381.16/19,852.58
  6. Step 6: Final answer
    x = 14,980.04

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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.