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Finding the Fourth Proportional to 23,897.72, 32,980.02 and 13,287.12

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Solution

The fourth proportional to 23,897.72, 32,980.02 and 13,287.12 is: 18,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.72 : 32,980.02 = 13,287.12 : x
  2. Step 2: Convert to fraction form
    23,897.72/32,980.02 = 13,287.12/x
  3. Step 3: Cross multiply
    23,897.72x = 32,980.02 × 13,287.12
  4. Step 4: Simplify right side
    23,897.72x = 438,209,483.34
  5. Step 5: Solve for x
    x = 438,209,483.34/23,897.72
  6. Step 6: Final answer
    x = 18,336.87

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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.