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Finding the Fourth Proportional to 21,720.96, 32,561.46 and 7,670.70

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Solution

The fourth proportional to 21,720.96, 32,561.46 and 7,670.70 is: 11,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720.96 : 32,561.46 = 7,670.70 : x
  2. Step 2: Convert to fraction form
    21,720.96/32,561.46 = 7,670.70/x
  3. Step 3: Cross multiply
    21,720.96x = 32,561.46 × 7,670.70
  4. Step 4: Simplify right side
    21,720.96x = 249,769,191.22
  5. Step 5: Solve for x
    x = 249,769,191.22/21,720.96
  6. Step 6: Final answer
    x = 11,498.99

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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.