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Finding the Fourth Proportional to 15,916.30, 23,872.56 and 4,230.40

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Solution

The fourth proportional to 15,916.30, 23,872.56 and 4,230.40 is: 6,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.30 : 23,872.56 = 4,230.40 : x
  2. Step 2: Convert to fraction form
    15,916.30/23,872.56 = 4,230.40/x
  3. Step 3: Cross multiply
    15,916.30x = 23,872.56 × 4,230.40
  4. Step 4: Simplify right side
    15,916.30x = 100,990,477.82
  5. Step 5: Solve for x
    x = 100,990,477.82/15,916.30
  6. Step 6: Final answer
    x = 6,345.10

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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.