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Finding the Fourth Proportional to 22,303.59, 30,779 and 12,232.11

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Solution

The fourth proportional to 22,303.59, 30,779 and 12,232.11 is: 16,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.59 : 30,779 = 12,232.11 : x
  2. Step 2: Convert to fraction form
    22,303.59/30,779 = 12,232.11/x
  3. Step 3: Cross multiply
    22,303.59x = 30,779 × 12,232.11
  4. Step 4: Simplify right side
    22,303.59x = 376,492,113.69
  5. Step 5: Solve for x
    x = 376,492,113.69/22,303.59
  6. Step 6: Final answer
    x = 16,880.34

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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.