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Finding the Fourth Proportional to 25,740, 35,501.76 and 17,795.52

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Solution

The fourth proportional to 25,740, 35,501.76 and 17,795.52 is: 24,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,740 : 35,501.76 = 17,795.52 : x
  2. Step 2: Convert to fraction form
    25,740/35,501.76 = 17,795.52/x
  3. Step 3: Cross multiply
    25,740x = 35,501.76 × 17,795.52
  4. Step 4: Simplify right side
    25,740x = 631,772,280.12
  5. Step 5: Solve for x
    x = 631,772,280.12/25,740
  6. Step 6: Final answer
    x = 24,544.38

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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.