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Finding the Fourth Proportional to 23,405, 32,295.60 and 13,330.20

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Solution

The fourth proportional to 23,405, 32,295.60 and 13,330.20 is: 18,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405 : 32,295.60 = 13,330.20 : x
  2. Step 2: Convert to fraction form
    23,405/32,295.60 = 13,330.20/x
  3. Step 3: Cross multiply
    23,405x = 32,295.60 × 13,330.20
  4. Step 4: Simplify right side
    23,405x = 430,506,807.12
  5. Step 5: Solve for x
    x = 430,506,807.12/23,405
  6. Step 6: Final answer
    x = 18,393.80

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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.