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Finding the Fourth Proportional to 14,404.64, 19,878.34 and 8,031.16

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Solution

The fourth proportional to 14,404.64, 19,878.34 and 8,031.16 is: 11,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.64 : 19,878.34 = 8,031.16 : x
  2. Step 2: Convert to fraction form
    14,404.64/19,878.34 = 8,031.16/x
  3. Step 3: Cross multiply
    14,404.64x = 19,878.34 × 8,031.16
  4. Step 4: Simplify right side
    14,404.64x = 159,646,129.07
  5. Step 5: Solve for x
    x = 159,646,129.07/14,404.64
  6. Step 6: Final answer
    x = 11,082.97

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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.