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Finding the Fourth Proportional to 25,897.42, 35,738.25 and 14,719.42

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Solution

The fourth proportional to 25,897.42, 35,738.25 and 14,719.42 is: 20,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.42 : 35,738.25 = 14,719.42 : x
  2. Step 2: Convert to fraction form
    25,897.42/35,738.25 = 14,719.42/x
  3. Step 3: Cross multiply
    25,897.42x = 35,738.25 × 14,719.42
  4. Step 4: Simplify right side
    25,897.42x = 526,046,301.29
  5. Step 5: Solve for x
    x = 526,046,301.29/25,897.42
  6. Step 6: Final answer
    x = 20,312.69

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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.