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Finding the Fourth Proportional to 13,572.86, 20,362.56 and 6,892.94

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Solution

The fourth proportional to 13,572.86, 20,362.56 and 6,892.94 is: 10,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572.86 : 20,362.56 = 6,892.94 : x
  2. Step 2: Convert to fraction form
    13,572.86/20,362.56 = 6,892.94/x
  3. Step 3: Cross multiply
    13,572.86x = 20,362.56 × 6,892.94
  4. Step 4: Simplify right side
    13,572.86x = 140,357,802.51
  5. Step 5: Solve for x
    x = 140,357,802.51/13,572.86
  6. Step 6: Final answer
    x = 10,341.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.