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Finding the Fourth Proportional to 16,670.86, 23,006.47 and 9,597.22

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Solution

The fourth proportional to 16,670.86, 23,006.47 and 9,597.22 is: 13,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,670.86 : 23,006.47 = 9,597.22 : x
  2. Step 2: Convert to fraction form
    16,670.86/23,006.47 = 9,597.22/x
  3. Step 3: Cross multiply
    16,670.86x = 23,006.47 × 9,597.22
  4. Step 4: Simplify right side
    16,670.86x = 220,798,154.01
  5. Step 5: Solve for x
    x = 220,798,154.01/16,670.86
  6. Step 6: Final answer
    x = 13,244.56

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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.