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Finding the Fourth Proportional to 13,402.88, 18,495.98 and 7,814.96

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Solution

The fourth proportional to 13,402.88, 18,495.98 and 7,814.96 is: 10,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.88 : 18,495.98 = 7,814.96 : x
  2. Step 2: Convert to fraction form
    13,402.88/18,495.98 = 7,814.96/x
  3. Step 3: Cross multiply
    13,402.88x = 18,495.98 × 7,814.96
  4. Step 4: Simplify right side
    13,402.88x = 144,545,270.92
  5. Step 5: Solve for x
    x = 144,545,270.92/13,402.88
  6. Step 6: Final answer
    x = 10,784.65

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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.