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Finding the Fourth Proportional to 16,567.74, 24,907.50 and 9,185.40

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Solution

The fourth proportional to 16,567.74, 24,907.50 and 9,185.40 is: 13,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.74 : 24,907.50 = 9,185.40 : x
  2. Step 2: Convert to fraction form
    16,567.74/24,907.50 = 9,185.40/x
  3. Step 3: Cross multiply
    16,567.74x = 24,907.50 × 9,185.40
  4. Step 4: Simplify right side
    16,567.74x = 228,785,350.50
  5. Step 5: Solve for x
    x = 228,785,350.50/16,567.74
  6. Step 6: Final answer
    x = 13,809.09

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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.