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Finding the Fourth Proportional to 14,916.48, 20,585.76 and 9,872

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Solution

The fourth proportional to 14,916.48, 20,585.76 and 9,872 is: 13,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.48 : 20,585.76 = 9,872 : x
  2. Step 2: Convert to fraction form
    14,916.48/20,585.76 = 9,872/x
  3. Step 3: Cross multiply
    14,916.48x = 20,585.76 × 9,872
  4. Step 4: Simplify right side
    14,916.48x = 203,222,622.72
  5. Step 5: Solve for x
    x = 203,222,622.72/14,916.48
  6. Step 6: Final answer
    x = 13,624.03

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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.