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Finding the Fourth Proportional to 23,478.94, 32,397.81 and 13,406.74

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Solution

The fourth proportional to 23,478.94, 32,397.81 and 13,406.74 is: 18,499.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.94 : 32,397.81 = 13,406.74 : x
  2. Step 2: Convert to fraction form
    23,478.94/32,397.81 = 13,406.74/x
  3. Step 3: Cross multiply
    23,478.94x = 32,397.81 × 13,406.74
  4. Step 4: Simplify right side
    23,478.94x = 434,349,015.24
  5. Step 5: Solve for x
    x = 434,349,015.24/23,478.94
  6. Step 6: Final answer
    x = 18,499.52

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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.