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Finding the Fourth Proportional to 22,437.64, 30,964.16 and 12,366.10

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Solution

The fourth proportional to 22,437.64, 30,964.16 and 12,366.10 is: 17,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,437.64 : 30,964.16 = 12,366.10 : x
  2. Step 2: Convert to fraction form
    22,437.64/30,964.16 = 12,366.10/x
  3. Step 3: Cross multiply
    22,437.64x = 30,964.16 × 12,366.10
  4. Step 4: Simplify right side
    22,437.64x = 382,905,682.32
  5. Step 5: Solve for x
    x = 382,905,682.32/22,437.64
  6. Step 6: Final answer
    x = 17,065.33

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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.