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Finding the Fourth Proportional to 25,883.64, 35,719.24 and 14,705.64

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Solution

The fourth proportional to 25,883.64, 35,719.24 and 14,705.64 is: 20,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.64 : 35,719.24 = 14,705.64 : x
  2. Step 2: Convert to fraction form
    25,883.64/35,719.24 = 14,705.64/x
  3. Step 3: Cross multiply
    25,883.64x = 35,719.24 × 14,705.64
  4. Step 4: Simplify right side
    25,883.64x = 525,274,284.51
  5. Step 5: Solve for x
    x = 525,274,284.51/25,883.64
  6. Step 6: Final answer
    x = 20,293.68

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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.