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Finding the Fourth Proportional to 14,909.76, 22,325.76 and 11,934.36

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Solution

The fourth proportional to 14,909.76, 22,325.76 and 11,934.36 is: 17,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.76 : 22,325.76 = 11,934.36 : x
  2. Step 2: Convert to fraction form
    14,909.76/22,325.76 = 11,934.36/x
  3. Step 3: Cross multiply
    14,909.76x = 22,325.76 × 11,934.36
  4. Step 4: Simplify right side
    14,909.76x = 266,443,657.11
  5. Step 5: Solve for x
    x = 266,443,657.11/14,909.76
  6. Step 6: Final answer
    x = 17,870.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.