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Finding the Fourth Proportional to 25,999, 35,885.10 and 14,827.48

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Solution

The fourth proportional to 25,999, 35,885.10 and 14,827.48 is: 20,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,999 : 35,885.10 = 14,827.48 : x
  2. Step 2: Convert to fraction form
    25,999/35,885.10 = 14,827.48/x
  3. Step 3: Cross multiply
    25,999x = 35,885.10 × 14,827.48
  4. Step 4: Simplify right side
    25,999x = 532,085,602.55
  5. Step 5: Solve for x
    x = 532,085,602.55/25,999
  6. Step 6: Final answer
    x = 20,465.62

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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.