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Finding the Fourth Proportional to 23,494.66, 32,421.93 and 13,423.06

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Solution

The fourth proportional to 23,494.66, 32,421.93 and 13,423.06 is: 18,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.66 : 32,421.93 = 13,423.06 : x
  2. Step 2: Convert to fraction form
    23,494.66/32,421.93 = 13,423.06/x
  3. Step 3: Cross multiply
    23,494.66x = 32,421.93 × 13,423.06
  4. Step 4: Simplify right side
    23,494.66x = 435,201,511.71
  5. Step 5: Solve for x
    x = 435,201,511.71/23,494.66
  6. Step 6: Final answer
    x = 18,523.42

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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.