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Finding the Fourth Proportional to 17,460.56, 24,095.64 and 9,502.77

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Solution

The fourth proportional to 17,460.56, 24,095.64 and 9,502.77 is: 13,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460.56 : 24,095.64 = 9,502.77 : x
  2. Step 2: Convert to fraction form
    17,460.56/24,095.64 = 9,502.77/x
  3. Step 3: Cross multiply
    17,460.56x = 24,095.64 × 9,502.77
  4. Step 4: Simplify right side
    17,460.56x = 228,975,324.92
  5. Step 5: Solve for x
    x = 228,975,324.92/17,460.56
  6. Step 6: Final answer
    x = 13,113.86

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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.