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Finding the Fourth Proportional to 17,709.60, 24,428.64 and 10,536.96

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Solution

The fourth proportional to 17,709.60, 24,428.64 and 10,536.96 is: 14,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.60 : 24,428.64 = 10,536.96 : x
  2. Step 2: Convert to fraction form
    17,709.60/24,428.64 = 10,536.96/x
  3. Step 3: Cross multiply
    17,709.60x = 24,428.64 × 10,536.96
  4. Step 4: Simplify right side
    17,709.60x = 257,403,602.53
  5. Step 5: Solve for x
    x = 257,403,602.53/17,709.60
  6. Step 6: Final answer
    x = 14,534.69

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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.