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Finding the Fourth Proportional to 19,842.84, 29,763.54 and 8,001.72

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Solution

The fourth proportional to 19,842.84, 29,763.54 and 8,001.72 is: 12,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.84 : 29,763.54 = 8,001.72 : x
  2. Step 2: Convert to fraction form
    19,842.84/29,763.54 = 8,001.72/x
  3. Step 3: Cross multiply
    19,842.84x = 29,763.54 × 8,001.72
  4. Step 4: Simplify right side
    19,842.84x = 238,159,513.29
  5. Step 5: Solve for x
    x = 238,159,513.29/19,842.84
  6. Step 6: Final answer
    x = 12,002.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.