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Finding the Fourth Proportional to 16,376.90, 24,578.04 and 10,828.40

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Solution

The fourth proportional to 16,376.90, 24,578.04 and 10,828.40 is: 16,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.90 : 24,578.04 = 10,828.40 : x
  2. Step 2: Convert to fraction form
    16,376.90/24,578.04 = 10,828.40/x
  3. Step 3: Cross multiply
    16,376.90x = 24,578.04 × 10,828.40
  4. Step 4: Simplify right side
    16,376.90x = 266,140,848.34
  5. Step 5: Solve for x
    x = 266,140,848.34/16,376.90
  6. Step 6: Final answer
    x = 16,250.99

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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.