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Finding the Fourth Proportional to 13,693.60, 18,897.14 and 7,405.96

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Solution

The fourth proportional to 13,693.60, 18,897.14 and 7,405.96 is: 10,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.60 : 18,897.14 = 7,405.96 : x
  2. Step 2: Convert to fraction form
    13,693.60/18,897.14 = 7,405.96/x
  3. Step 3: Cross multiply
    13,693.60x = 18,897.14 × 7,405.96
  4. Step 4: Simplify right side
    13,693.60x = 139,951,462.95
  5. Step 5: Solve for x
    x = 139,951,462.95/13,693.60
  6. Step 6: Final answer
    x = 10,220.21

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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.