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Finding the Fourth Proportional to 25,786, 35,582.76 and 14,607.76

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Solution

The fourth proportional to 25,786, 35,582.76 and 14,607.76 is: 20,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,786 : 35,582.76 = 14,607.76 : x
  2. Step 2: Convert to fraction form
    25,786/35,582.76 = 14,607.76/x
  3. Step 3: Cross multiply
    25,786x = 35,582.76 × 14,607.76
  4. Step 4: Simplify right side
    25,786x = 519,784,418.22
  5. Step 5: Solve for x
    x = 519,784,418.22/25,786
  6. Step 6: Final answer
    x = 20,157.62

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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.