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Finding the Fourth Proportional to 16,381.19, 22,605.85 and 9,307.46

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Solution

The fourth proportional to 16,381.19, 22,605.85 and 9,307.46 is: 12,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.19 : 22,605.85 = 9,307.46 : x
  2. Step 2: Convert to fraction form
    16,381.19/22,605.85 = 9,307.46/x
  3. Step 3: Cross multiply
    16,381.19x = 22,605.85 × 9,307.46
  4. Step 4: Simplify right side
    16,381.19x = 210,403,044.64
  5. Step 5: Solve for x
    x = 210,403,044.64/16,381.19
  6. Step 6: Final answer
    x = 12,844.19

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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.