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Finding the Fourth Proportional to 16,328.40, 24,491.72 and 9,577.74

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Solution

The fourth proportional to 16,328.40, 24,491.72 and 9,577.74 is: 14,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.40 : 24,491.72 = 9,577.74 : x
  2. Step 2: Convert to fraction form
    16,328.40/24,491.72 = 9,577.74/x
  3. Step 3: Cross multiply
    16,328.40x = 24,491.72 × 9,577.74
  4. Step 4: Simplify right side
    16,328.40x = 234,575,326.31
  5. Step 5: Solve for x
    x = 234,575,326.31/16,328.40
  6. Step 6: Final answer
    x = 14,366.09

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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.