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Finding the Fourth Proportional to 14,404.53, 19,878.25 and 8,117.13

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Solution

The fourth proportional to 14,404.53, 19,878.25 and 8,117.13 is: 11,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.53 : 19,878.25 = 8,117.13 : x
  2. Step 2: Convert to fraction form
    14,404.53/19,878.25 = 8,117.13/x
  3. Step 3: Cross multiply
    14,404.53x = 19,878.25 × 8,117.13
  4. Step 4: Simplify right side
    14,404.53x = 161,354,389.64
  5. Step 5: Solve for x
    x = 161,354,389.64/14,404.53
  6. Step 6: Final answer
    x = 11,201.64

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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.