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Finding the Fourth Proportional to 14,416.93, 19,894.98 and 8,044.12

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Solution

The fourth proportional to 14,416.93, 19,894.98 and 8,044.12 is: 11,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.93 : 19,894.98 = 8,044.12 : x
  2. Step 2: Convert to fraction form
    14,416.93/19,894.98 = 8,044.12/x
  3. Step 3: Cross multiply
    14,416.93x = 19,894.98 × 8,044.12
  4. Step 4: Simplify right side
    14,416.93x = 160,037,606.52
  5. Step 5: Solve for x
    x = 160,037,606.52/14,416.93
  6. Step 6: Final answer
    x = 11,100.67

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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.