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Finding the Fourth Proportional to 15,079.84, 20,811 and 9,779.20

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Solution

The fourth proportional to 15,079.84, 20,811 and 9,779.20 is: 13,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,079.84 : 20,811 = 9,779.20 : x
  2. Step 2: Convert to fraction form
    15,079.84/20,811 = 9,779.20/x
  3. Step 3: Cross multiply
    15,079.84x = 20,811 × 9,779.20
  4. Step 4: Simplify right side
    15,079.84x = 203,514,931.20
  5. Step 5: Solve for x
    x = 203,514,931.20/15,079.84
  6. Step 6: Final answer
    x = 13,495.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.