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Finding the Fourth Proportional to 25,785, 35,583.30 and 14,607

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Solution

The fourth proportional to 25,785, 35,583.30 and 14,607 is: 20,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785 : 35,583.30 = 14,607 : x
  2. Step 2: Convert to fraction form
    25,785/35,583.30 = 14,607/x
  3. Step 3: Cross multiply
    25,785x = 35,583.30 × 14,607
  4. Step 4: Simplify right side
    25,785x = 519,765,263.10
  5. Step 5: Solve for x
    x = 519,765,263.10/25,785
  6. Step 6: Final answer
    x = 20,157.66

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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.