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Finding the Fourth Proportional to 21,666.25, 32,495.27 and 10,561.77

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Solution

The fourth proportional to 21,666.25, 32,495.27 and 10,561.77 is: 15,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.25 : 32,495.27 = 10,561.77 : x
  2. Step 2: Convert to fraction form
    21,666.25/32,495.27 = 10,561.77/x
  3. Step 3: Cross multiply
    21,666.25x = 32,495.27 × 10,561.77
  4. Step 4: Simplify right side
    21,666.25x = 343,207,515.02
  5. Step 5: Solve for x
    x = 343,207,515.02/21,666.25
  6. Step 6: Final answer
    x = 15,840.65

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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.