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Finding the Fourth Proportional to 23,840.80, 32,897.80 and 13,230.16

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Solution

The fourth proportional to 23,840.80, 32,897.80 and 13,230.16 is: 18,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.80 : 32,897.80 = 13,230.16 : x
  2. Step 2: Convert to fraction form
    23,840.80/32,897.80 = 13,230.16/x
  3. Step 3: Cross multiply
    23,840.80x = 32,897.80 × 13,230.16
  4. Step 4: Simplify right side
    23,840.80x = 435,243,157.65
  5. Step 5: Solve for x
    x = 435,243,157.65/23,840.80
  6. Step 6: Final answer
    x = 18,256.23

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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.