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Finding the Fourth Proportional to 13,792.74, 19,031.08 and 9,019.68

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Solution

The fourth proportional to 13,792.74, 19,031.08 and 9,019.68 is: 12,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.74 : 19,031.08 = 9,019.68 : x
  2. Step 2: Convert to fraction form
    13,792.74/19,031.08 = 9,019.68/x
  3. Step 3: Cross multiply
    13,792.74x = 19,031.08 × 9,019.68
  4. Step 4: Simplify right side
    13,792.74x = 171,654,251.65
  5. Step 5: Solve for x
    x = 171,654,251.65/13,792.74
  6. Step 6: Final answer
    x = 12,445.26

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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.