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Finding the Fourth Proportional to 23,359.14, 32,235.71 and 12,749.02

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Solution

The fourth proportional to 23,359.14, 32,235.71 and 12,749.02 is: 17,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,359.14 : 32,235.71 = 12,749.02 : x
  2. Step 2: Convert to fraction form
    23,359.14/32,235.71 = 12,749.02/x
  3. Step 3: Cross multiply
    23,359.14x = 32,235.71 × 12,749.02
  4. Step 4: Simplify right side
    23,359.14x = 410,973,567.17
  5. Step 5: Solve for x
    x = 410,973,567.17/23,359.14
  6. Step 6: Final answer
    x = 17,593.69

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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.