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Finding the Fourth Proportional to 25,798, 35,601.24 and 15,194.20

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Solution

The fourth proportional to 25,798, 35,601.24 and 15,194.20 is: 20,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,798 : 35,601.24 = 15,194.20 : x
  2. Step 2: Convert to fraction form
    25,798/35,601.24 = 15,194.20/x
  3. Step 3: Cross multiply
    25,798x = 35,601.24 × 15,194.20
  4. Step 4: Simplify right side
    25,798x = 540,932,360.81
  5. Step 5: Solve for x
    x = 540,932,360.81/25,798
  6. Step 6: Final answer
    x = 20,968.00

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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.