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Finding the Fourth Proportional to 21,464.64, 29,623.02 and 12,035.01

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Solution

The fourth proportional to 21,464.64, 29,623.02 and 12,035.01 is: 16,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464.64 : 29,623.02 = 12,035.01 : x
  2. Step 2: Convert to fraction form
    21,464.64/29,623.02 = 12,035.01/x
  3. Step 3: Cross multiply
    21,464.64x = 29,623.02 × 12,035.01
  4. Step 4: Simplify right side
    21,464.64x = 356,513,341.93
  5. Step 5: Solve for x
    x = 356,513,341.93/21,464.64
  6. Step 6: Final answer
    x = 16,609.33

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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.