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Finding the Fourth Proportional to 23,440.86, 32,342.00 and 13,365.63

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Solution

The fourth proportional to 23,440.86, 32,342.00 and 13,365.63 is: 18,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,440.86 : 32,342.00 = 13,365.63 : x
  2. Step 2: Convert to fraction form
    23,440.86/32,342.00 = 13,365.63/x
  3. Step 3: Cross multiply
    23,440.86x = 32,342.00 × 13,365.63
  4. Step 4: Simplify right side
    23,440.86x = 432,271,077.99
  5. Step 5: Solve for x
    x = 432,271,077.99/23,440.86
  6. Step 6: Final answer
    x = 18,440.92

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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.