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Finding the Fourth Proportional to 16,421.64, 22,663.53 and 9,709.44

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Solution

The fourth proportional to 16,421.64, 22,663.53 and 9,709.44 is: 13,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.64 : 22,663.53 = 9,709.44 : x
  2. Step 2: Convert to fraction form
    16,421.64/22,663.53 = 9,709.44/x
  3. Step 3: Cross multiply
    16,421.64x = 22,663.53 × 9,709.44
  4. Step 4: Simplify right side
    16,421.64x = 220,050,184.72
  5. Step 5: Solve for x
    x = 220,050,184.72/16,421.64
  6. Step 6: Final answer
    x = 13,400.01

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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.