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Finding the Fourth Proportional to 13,718.84, 18,929.58 and 8,054.24

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Solution

The fourth proportional to 13,718.84, 18,929.58 and 8,054.24 is: 11,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.84 : 18,929.58 = 8,054.24 : x
  2. Step 2: Convert to fraction form
    13,718.84/18,929.58 = 8,054.24/x
  3. Step 3: Cross multiply
    13,718.84x = 18,929.58 × 8,054.24
  4. Step 4: Simplify right side
    13,718.84x = 152,463,380.42
  5. Step 5: Solve for x
    x = 152,463,380.42/13,718.84
  6. Step 6: Final answer
    x = 11,113.43

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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.