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Finding the Fourth Proportional to 22,303.64, 30,779.40 and 12,233

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Solution

The fourth proportional to 22,303.64, 30,779.40 and 12,233 is: 16,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.64 : 30,779.40 = 12,233 : x
  2. Step 2: Convert to fraction form
    22,303.64/30,779.40 = 12,233/x
  3. Step 3: Cross multiply
    22,303.64x = 30,779.40 × 12,233
  4. Step 4: Simplify right side
    22,303.64x = 376,524,400.20
  5. Step 5: Solve for x
    x = 376,524,400.20/22,303.64
  6. Step 6: Final answer
    x = 16,881.75

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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.