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Finding the Fourth Proportional to 14,651.76, 21,985.53 and 9,723.72

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Solution

The fourth proportional to 14,651.76, 21,985.53 and 9,723.72 is: 14,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.76 : 21,985.53 = 9,723.72 : x
  2. Step 2: Convert to fraction form
    14,651.76/21,985.53 = 9,723.72/x
  3. Step 3: Cross multiply
    14,651.76x = 21,985.53 × 9,723.72
  4. Step 4: Simplify right side
    14,651.76x = 213,781,137.77
  5. Step 5: Solve for x
    x = 213,781,137.77/14,651.76
  6. Step 6: Final answer
    x = 14,590.82

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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.