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Finding the Fourth Proportional to 14,421.40, 19,900.78 and 8,133.38

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Solution

The fourth proportional to 14,421.40, 19,900.78 and 8,133.38 is: 11,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.40 : 19,900.78 = 8,133.38 : x
  2. Step 2: Convert to fraction form
    14,421.40/19,900.78 = 8,133.38/x
  3. Step 3: Cross multiply
    14,421.40x = 19,900.78 × 8,133.38
  4. Step 4: Simplify right side
    14,421.40x = 161,860,606.04
  5. Step 5: Solve for x
    x = 161,860,606.04/14,421.40
  6. Step 6: Final answer
    x = 11,223.64

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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.