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Finding the Fourth Proportional to 24,549.84, 33,878.16 and 14,342.58

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Solution

The fourth proportional to 24,549.84, 33,878.16 and 14,342.58 is: 19,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.84 : 33,878.16 = 14,342.58 : x
  2. Step 2: Convert to fraction form
    24,549.84/33,878.16 = 14,342.58/x
  3. Step 3: Cross multiply
    24,549.84x = 33,878.16 × 14,342.58
  4. Step 4: Simplify right side
    24,549.84x = 485,900,220.05
  5. Step 5: Solve for x
    x = 485,900,220.05/24,549.84
  6. Step 6: Final answer
    x = 19,792.40

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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.