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Finding the Fourth Proportional to 17,669.98, 24,384.68 and 9,712.27

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Solution

The fourth proportional to 17,669.98, 24,384.68 and 9,712.27 is: 13,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.98 : 24,384.68 = 9,712.27 : x
  2. Step 2: Convert to fraction form
    17,669.98/24,384.68 = 9,712.27/x
  3. Step 3: Cross multiply
    17,669.98x = 24,384.68 × 9,712.27
  4. Step 4: Simplify right side
    17,669.98x = 236,830,596.02
  5. Step 5: Solve for x
    x = 236,830,596.02/17,669.98
  6. Step 6: Final answer
    x = 13,402.99

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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.