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Finding the Fourth Proportional to 14,916.14, 20,588.55 and 9,881.18

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Solution

The fourth proportional to 14,916.14, 20,588.55 and 9,881.18 is: 13,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.14 : 20,588.55 = 9,881.18 : x
  2. Step 2: Convert to fraction form
    14,916.14/20,588.55 = 9,881.18/x
  3. Step 3: Cross multiply
    14,916.14x = 20,588.55 × 9,881.18
  4. Step 4: Simplify right side
    14,916.14x = 203,439,168.49
  5. Step 5: Solve for x
    x = 203,439,168.49/14,916.14
  6. Step 6: Final answer
    x = 13,638.86

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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.