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Finding the Fourth Proportional to 25,886.25, 35,723.03 and 14,708.25

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Solution

The fourth proportional to 25,886.25, 35,723.03 and 14,708.25 is: 20,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.25 : 35,723.03 = 14,708.25 : x
  2. Step 2: Convert to fraction form
    25,886.25/35,723.03 = 14,708.25/x
  3. Step 3: Cross multiply
    25,886.25x = 35,723.03 × 14,708.25
  4. Step 4: Simplify right side
    25,886.25x = 525,423,182.46
  5. Step 5: Solve for x
    x = 525,423,182.46/25,886.25
  6. Step 6: Final answer
    x = 20,297.39

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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.