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Finding the Fourth Proportional to 19,911.84, 27,472.64 and 12,842.32

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Solution

The fourth proportional to 19,911.84, 27,472.64 and 12,842.32 is: 17,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911.84 : 27,472.64 = 12,842.32 : x
  2. Step 2: Convert to fraction form
    19,911.84/27,472.64 = 12,842.32/x
  3. Step 3: Cross multiply
    19,911.84x = 27,472.64 × 12,842.32
  4. Step 4: Simplify right side
    19,911.84x = 352,812,434.12
  5. Step 5: Solve for x
    x = 352,812,434.12/19,911.84
  6. Step 6: Final answer
    x = 17,718.73

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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.