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Finding the Fourth Proportional to 14,646.36, 21,973.59 and 4,786.23

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Solution

The fourth proportional to 14,646.36, 21,973.59 and 4,786.23 is: 7,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.36 : 21,973.59 = 4,786.23 : x
  2. Step 2: Convert to fraction form
    14,646.36/21,973.59 = 4,786.23/x
  3. Step 3: Cross multiply
    14,646.36x = 21,973.59 × 4,786.23
  4. Step 4: Simplify right side
    14,646.36x = 105,170,655.67
  5. Step 5: Solve for x
    x = 105,170,655.67/14,646.36
  6. Step 6: Final answer
    x = 7,180.67

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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.