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Finding the Fourth Proportional to 21,178.22, 31,779.63 and 9,491.45

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Solution

The fourth proportional to 21,178.22, 31,779.63 and 9,491.45 is: 14,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.22 : 31,779.63 = 9,491.45 : x
  2. Step 2: Convert to fraction form
    21,178.22/31,779.63 = 9,491.45/x
  3. Step 3: Cross multiply
    21,178.22x = 31,779.63 × 9,491.45
  4. Step 4: Simplify right side
    21,178.22x = 301,634,769.16
  5. Step 5: Solve for x
    x = 301,634,769.16/21,178.22
  6. Step 6: Final answer
    x = 14,242.69

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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.