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Finding the Fourth Proportional to 17,455.74, 24,088.20 and 9,497.96

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Solution

The fourth proportional to 17,455.74, 24,088.20 and 9,497.96 is: 13,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,455.74 : 24,088.20 = 9,497.96 : x
  2. Step 2: Convert to fraction form
    17,455.74/24,088.20 = 9,497.96/x
  3. Step 3: Cross multiply
    17,455.74x = 24,088.20 × 9,497.96
  4. Step 4: Simplify right side
    17,455.74x = 228,788,760.07
  5. Step 5: Solve for x
    x = 228,788,760.07/17,455.74
  6. Step 6: Final answer
    x = 13,106.79

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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.