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Finding the Fourth Proportional to 14,073.96, 19,421.94 and 8,408.40

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Solution

The fourth proportional to 14,073.96, 19,421.94 and 8,408.40 is: 11,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.96 : 19,421.94 = 8,408.40 : x
  2. Step 2: Convert to fraction form
    14,073.96/19,421.94 = 8,408.40/x
  3. Step 3: Cross multiply
    14,073.96x = 19,421.94 × 8,408.40
  4. Step 4: Simplify right side
    14,073.96x = 163,307,440.30
  5. Step 5: Solve for x
    x = 163,307,440.30/14,073.96
  6. Step 6: Final answer
    x = 11,603.52

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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.