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Finding the Fourth Proportional to 16,374.89, 22,597.42 and 9,569.30

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Solution

The fourth proportional to 16,374.89, 22,597.42 and 9,569.30 is: 13,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.89 : 22,597.42 = 9,569.30 : x
  2. Step 2: Convert to fraction form
    16,374.89/22,597.42 = 9,569.30/x
  3. Step 3: Cross multiply
    16,374.89x = 22,597.42 × 9,569.30
  4. Step 4: Simplify right side
    16,374.89x = 216,241,499.35
  5. Step 5: Solve for x
    x = 216,241,499.35/16,374.89
  6. Step 6: Final answer
    x = 13,205.68

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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.