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Finding the Fourth Proportional to 23,486.04, 32,411 and 13,415.81

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Solution

The fourth proportional to 23,486.04, 32,411 and 13,415.81 is: 18,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.04 : 32,411 = 13,415.81 : x
  2. Step 2: Convert to fraction form
    23,486.04/32,411 = 13,415.81/x
  3. Step 3: Cross multiply
    23,486.04x = 32,411 × 13,415.81
  4. Step 4: Simplify right side
    23,486.04x = 434,819,817.91
  5. Step 5: Solve for x
    x = 434,819,817.91/23,486.04
  6. Step 6: Final answer
    x = 18,513.97

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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.