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Finding the Fourth Proportional to 25,597.74, 35,318.70 and 14,419.74

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Solution

The fourth proportional to 25,597.74, 35,318.70 and 14,419.74 is: 19,895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.74 : 35,318.70 = 14,419.74 : x
  2. Step 2: Convert to fraction form
    25,597.74/35,318.70 = 14,419.74/x
  3. Step 3: Cross multiply
    25,597.74x = 35,318.70 × 14,419.74
  4. Step 4: Simplify right side
    25,597.74x = 509,286,471.14
  5. Step 5: Solve for x
    x = 509,286,471.14/25,597.74
  6. Step 6: Final answer
    x = 19,895.76

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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.