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Finding the Fourth Proportional to 23,538.60, 35,332.74 and 14,201.40

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Solution

The fourth proportional to 23,538.60, 35,332.74 and 14,201.40 is: 21,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.60 : 35,332.74 = 14,201.40 : x
  2. Step 2: Convert to fraction form
    23,538.60/35,332.74 = 14,201.40/x
  3. Step 3: Cross multiply
    23,538.60x = 35,332.74 × 14,201.40
  4. Step 4: Simplify right side
    23,538.60x = 501,774,373.84
  5. Step 5: Solve for x
    x = 501,774,373.84/23,538.60
  6. Step 6: Final answer
    x = 21,317.09

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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.