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Finding the Fourth Proportional to 14,421.09, 21,638.54 and 7,847.28

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Solution

The fourth proportional to 14,421.09, 21,638.54 and 7,847.28 is: 11,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.09 : 21,638.54 = 7,847.28 : x
  2. Step 2: Convert to fraction form
    14,421.09/21,638.54 = 7,847.28/x
  3. Step 3: Cross multiply
    14,421.09x = 21,638.54 × 7,847.28
  4. Step 4: Simplify right side
    14,421.09x = 169,803,642.93
  5. Step 5: Solve for x
    x = 169,803,642.93/14,421.09
  6. Step 6: Final answer
    x = 11,774.67

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