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Finding the Fourth Proportional to 23,434.50, 32,339.58 and 12,824.16

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Solution

The fourth proportional to 23,434.50, 32,339.58 and 12,824.16 is: 17,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.50 : 32,339.58 = 12,824.16 : x
  2. Step 2: Convert to fraction form
    23,434.50/32,339.58 = 12,824.16/x
  3. Step 3: Cross multiply
    23,434.50x = 32,339.58 × 12,824.16
  4. Step 4: Simplify right side
    23,434.50x = 414,727,948.25
  5. Step 5: Solve for x
    x = 414,727,948.25/23,434.50
  6. Step 6: Final answer
    x = 17,697.32

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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.