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Finding the Fourth Proportional to 25,720, 35,493.60 and 14,544.16

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Solution

The fourth proportional to 25,720, 35,493.60 and 14,544.16 is: 20,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,720 : 35,493.60 = 14,544.16 : x
  2. Step 2: Convert to fraction form
    25,720/35,493.60 = 14,544.16/x
  3. Step 3: Cross multiply
    25,720x = 35,493.60 × 14,544.16
  4. Step 4: Simplify right side
    25,720x = 516,224,597.38
  5. Step 5: Solve for x
    x = 516,224,597.38/25,720
  6. Step 6: Final answer
    x = 20,070.94

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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.