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Finding the Fourth Proportional to 26,006.40, 39,038.40 and 16,156.80

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Solution

The fourth proportional to 26,006.40, 39,038.40 and 16,156.80 is: 24,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006.40 : 39,038.40 = 16,156.80 : x
  2. Step 2: Convert to fraction form
    26,006.40/39,038.40 = 16,156.80/x
  3. Step 3: Cross multiply
    26,006.40x = 39,038.40 × 16,156.80
  4. Step 4: Simplify right side
    26,006.40x = 630,735,621.12
  5. Step 5: Solve for x
    x = 630,735,621.12/26,006.40
  6. Step 6: Final answer
    x = 24,253.09

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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.