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Finding the Fourth Proportional to 18,281.92, 25,228.35 and 10,216

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Solution

The fourth proportional to 18,281.92, 25,228.35 and 10,216 is: 14,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281.92 : 25,228.35 = 10,216 : x
  2. Step 2: Convert to fraction form
    18,281.92/25,228.35 = 10,216/x
  3. Step 3: Cross multiply
    18,281.92x = 25,228.35 × 10,216
  4. Step 4: Simplify right side
    18,281.92x = 257,732,823.60
  5. Step 5: Solve for x
    x = 257,732,823.60/18,281.92
  6. Step 6: Final answer
    x = 14,097.69

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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.