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Finding the Fourth Proportional to 14,421.72, 19,873.98 and 9,636.24

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Solution

The fourth proportional to 14,421.72, 19,873.98 and 9,636.24 is: 13,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.72 : 19,873.98 = 9,636.24 : x
  2. Step 2: Convert to fraction form
    14,421.72/19,873.98 = 9,636.24/x
  3. Step 3: Cross multiply
    14,421.72x = 19,873.98 × 9,636.24
  4. Step 4: Simplify right side
    14,421.72x = 191,510,441.04
  5. Step 5: Solve for x
    x = 191,510,441.04/14,421.72
  6. Step 6: Final answer
    x = 13,279.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.