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Finding the Fourth Proportional to 16,852.20, 23,547 and 16,852.20

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Solution

The fourth proportional to 16,852.20, 23,547 and 16,852.20 is: 23,547

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.20 : 23,547 = 16,852.20 : x
  2. Step 2: Convert to fraction form
    16,852.20/23,547 = 16,852.20/x
  3. Step 3: Cross multiply
    16,852.20x = 23,547 × 16,852.20
  4. Step 4: Simplify right side
    16,852.20x = 396,818,753.40
  5. Step 5: Solve for x
    x = 396,818,753.40/16,852.20
  6. Step 6: Final answer
    x = 23,547

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.