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Finding the Fourth Proportional to 10,670.70, 16,006.05 and 9,374.70

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Solution

The fourth proportional to 10,670.70, 16,006.05 and 9,374.70 is: 14,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.70 : 16,006.05 = 9,374.70 : x
  2. Step 2: Convert to fraction form
    10,670.70/16,006.05 = 9,374.70/x
  3. Step 3: Cross multiply
    10,670.70x = 16,006.05 × 9,374.70
  4. Step 4: Simplify right side
    10,670.70x = 150,051,916.94
  5. Step 5: Solve for x
    x = 150,051,916.94/10,670.70
  6. Step 6: Final answer
    x = 14,062.05

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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.