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Finding the Fourth Proportional to 25,897.74, 35,738.68 and 14,719.74

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Solution

The fourth proportional to 25,897.74, 35,738.68 and 14,719.74 is: 20,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.74 : 35,738.68 = 14,719.74 : x
  2. Step 2: Convert to fraction form
    25,897.74/35,738.68 = 14,719.74/x
  3. Step 3: Cross multiply
    25,897.74x = 35,738.68 × 14,719.74
  4. Step 4: Simplify right side
    25,897.74x = 526,063,825.25
  5. Step 5: Solve for x
    x = 526,063,825.25/25,897.74
  6. Step 6: Final answer
    x = 20,313.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.