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Finding the Fourth Proportional to 23,897.34, 32,981.00 and 13,825.67

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Solution

The fourth proportional to 23,897.34, 32,981.00 and 13,825.67 is: 19,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.34 : 32,981.00 = 13,825.67 : x
  2. Step 2: Convert to fraction form
    23,897.34/32,981.00 = 13,825.67/x
  3. Step 3: Cross multiply
    23,897.34x = 32,981.00 × 13,825.67
  4. Step 4: Simplify right side
    23,897.34x = 455,984,188.24
  5. Step 5: Solve for x
    x = 455,984,188.24/23,897.34
  6. Step 6: Final answer
    x = 19,080.96

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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.