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Finding the Fourth Proportional to 17,051.84, 23,530.76 and 9,497.76

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Solution

The fourth proportional to 17,051.84, 23,530.76 and 9,497.76 is: 13,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.84 : 23,530.76 = 9,497.76 : x
  2. Step 2: Convert to fraction form
    17,051.84/23,530.76 = 9,497.76/x
  3. Step 3: Cross multiply
    17,051.84x = 23,530.76 × 9,497.76
  4. Step 4: Simplify right side
    17,051.84x = 223,489,511.10
  5. Step 5: Solve for x
    x = 223,489,511.10/17,051.84
  6. Step 6: Final answer
    x = 13,106.47

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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.