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Finding the Fourth Proportional to 17,878.59, 24,702.12 and 14,130.50

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Solution

The fourth proportional to 17,878.59, 24,702.12 and 14,130.50 is: 19,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.59 : 24,702.12 = 14,130.50 : x
  2. Step 2: Convert to fraction form
    17,878.59/24,702.12 = 14,130.50/x
  3. Step 3: Cross multiply
    17,878.59x = 24,702.12 × 14,130.50
  4. Step 4: Simplify right side
    17,878.59x = 349,053,183.15
  5. Step 5: Solve for x
    x = 349,053,183.15/17,878.59
  6. Step 6: Final answer
    x = 19,523.53

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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.