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Finding the Fourth Proportional to 13,885.53, 19,154.88 and 9,407.76

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Solution

The fourth proportional to 13,885.53, 19,154.88 and 9,407.76 is: 12,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.53 : 19,154.88 = 9,407.76 : x
  2. Step 2: Convert to fraction form
    13,885.53/19,154.88 = 9,407.76/x
  3. Step 3: Cross multiply
    13,885.53x = 19,154.88 × 9,407.76
  4. Step 4: Simplify right side
    13,885.53x = 180,204,513.87
  5. Step 5: Solve for x
    x = 180,204,513.87/13,885.53
  6. Step 6: Final answer
    x = 12,977.86

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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.