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Finding the Fourth Proportional to 23,773.14, 32,808.06 and 14,341.50

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Solution

The fourth proportional to 23,773.14, 32,808.06 and 14,341.50 is: 19,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.14 : 32,808.06 = 14,341.50 : x
  2. Step 2: Convert to fraction form
    23,773.14/32,808.06 = 14,341.50/x
  3. Step 3: Cross multiply
    23,773.14x = 32,808.06 × 14,341.50
  4. Step 4: Simplify right side
    23,773.14x = 470,516,792.49
  5. Step 5: Solve for x
    x = 470,516,792.49/23,773.14
  6. Step 6: Final answer
    x = 19,791.95

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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.