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Finding the Fourth Proportional to 25,897.34, 35,741.10 and 15,145.50

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Solution

The fourth proportional to 25,897.34, 35,741.10 and 15,145.50 is: 20,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.34 : 35,741.10 = 15,145.50 : x
  2. Step 2: Convert to fraction form
    25,897.34/35,741.10 = 15,145.50/x
  3. Step 3: Cross multiply
    25,897.34x = 35,741.10 × 15,145.50
  4. Step 4: Simplify right side
    25,897.34x = 541,316,639.23
  5. Step 5: Solve for x
    x = 541,316,639.23/25,897.34
  6. Step 6: Final answer
    x = 20,902.41

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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.