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Finding the Fourth Proportional to 24,202.86, 33,395.67 and 14,774.46

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Solution

The fourth proportional to 24,202.86, 33,395.67 and 14,774.46 is: 20,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.86 : 33,395.67 = 14,774.46 : x
  2. Step 2: Convert to fraction form
    24,202.86/33,395.67 = 14,774.46/x
  3. Step 3: Cross multiply
    24,202.86x = 33,395.67 × 14,774.46
  4. Step 4: Simplify right side
    24,202.86x = 493,402,990.59
  5. Step 5: Solve for x
    x = 493,402,990.59/24,202.86
  6. Step 6: Final answer
    x = 20,386.14

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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.