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Finding the Fourth Proportional to 14,408.65, 19,897.95 and 11,230.75

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Solution

The fourth proportional to 14,408.65, 19,897.95 and 11,230.75 is: 15,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.65 : 19,897.95 = 11,230.75 : x
  2. Step 2: Convert to fraction form
    14,408.65/19,897.95 = 11,230.75/x
  3. Step 3: Cross multiply
    14,408.65x = 19,897.95 × 11,230.75
  4. Step 4: Simplify right side
    14,408.65x = 223,468,901.96
  5. Step 5: Solve for x
    x = 223,468,901.96/14,408.65
  6. Step 6: Final answer
    x = 15,509.36

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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.