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Finding the Fourth Proportional to 17,695.92, 24,417 and 10,619.76

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Solution

The fourth proportional to 17,695.92, 24,417 and 10,619.76 is: 14,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.92 : 24,417 = 10,619.76 : x
  2. Step 2: Convert to fraction form
    17,695.92/24,417 = 10,619.76/x
  3. Step 3: Cross multiply
    17,695.92x = 24,417 × 10,619.76
  4. Step 4: Simplify right side
    17,695.92x = 259,302,679.92
  5. Step 5: Solve for x
    x = 259,302,679.92/17,695.92
  6. Step 6: Final answer
    x = 14,653.25

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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.