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Finding the Fourth Proportional to 13,402.84, 18,495.57 and 7,737.40

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Solution

The fourth proportional to 13,402.84, 18,495.57 and 7,737.40 is: 10,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.84 : 18,495.57 = 7,737.40 : x
  2. Step 2: Convert to fraction form
    13,402.84/18,495.57 = 7,737.40/x
  3. Step 3: Cross multiply
    13,402.84x = 18,495.57 × 7,737.40
  4. Step 4: Simplify right side
    13,402.84x = 143,107,558.15
  5. Step 5: Solve for x
    x = 143,107,558.15/13,402.84
  6. Step 6: Final answer
    x = 10,677.40

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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.