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Finding the Fourth Proportional to 13,948.84, 20,903.10 and 7,779.88

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Solution

The fourth proportional to 13,948.84, 20,903.10 and 7,779.88 is: 11,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.84 : 20,903.10 = 7,779.88 : x
  2. Step 2: Convert to fraction form
    13,948.84/20,903.10 = 7,779.88/x
  3. Step 3: Cross multiply
    13,948.84x = 20,903.10 × 7,779.88
  4. Step 4: Simplify right side
    13,948.84x = 162,623,609.63
  5. Step 5: Solve for x
    x = 162,623,609.63/13,948.84
  6. Step 6: Final answer
    x = 11,658.58

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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.