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Finding the Fourth Proportional to 19,582.29, 27,024.01 and 11,624.54

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Solution

The fourth proportional to 19,582.29, 27,024.01 and 11,624.54 is: 16,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,582.29 : 27,024.01 = 11,624.54 : x
  2. Step 2: Convert to fraction form
    19,582.29/27,024.01 = 11,624.54/x
  3. Step 3: Cross multiply
    19,582.29x = 27,024.01 × 11,624.54
  4. Step 4: Simplify right side
    19,582.29x = 314,141,685.21
  5. Step 5: Solve for x
    x = 314,141,685.21/19,582.29
  6. Step 6: Final answer
    x = 16,042.14

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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.