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Finding the Fourth Proportional to 17,417.76, 24,032.32 and 11,762.88

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Solution

The fourth proportional to 17,417.76, 24,032.32 and 11,762.88 is: 16,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417.76 : 24,032.32 = 11,762.88 : x
  2. Step 2: Convert to fraction form
    17,417.76/24,032.32 = 11,762.88/x
  3. Step 3: Cross multiply
    17,417.76x = 24,032.32 × 11,762.88
  4. Step 4: Simplify right side
    17,417.76x = 282,689,296.28
  5. Step 5: Solve for x
    x = 282,689,296.28/17,417.76
  6. Step 6: Final answer
    x = 16,229.95

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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.