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Finding the Fourth Proportional to 27,005.36, 37,257 and 16,916.24

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Solution

The fourth proportional to 27,005.36, 37,257 and 16,916.24 is: 23,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.36 : 37,257 = 16,916.24 : x
  2. Step 2: Convert to fraction form
    27,005.36/37,257 = 16,916.24/x
  3. Step 3: Cross multiply
    27,005.36x = 37,257 × 16,916.24
  4. Step 4: Simplify right side
    27,005.36x = 630,248,167.40
  5. Step 5: Solve for x
    x = 630,248,167.40/27,005.36
  6. Step 6: Final answer
    x = 23,337.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.