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Finding the Fourth Proportional to 17,904.24, 24,708 and 9,946.98

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Solution

The fourth proportional to 17,904.24, 24,708 and 9,946.98 is: 13,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.24 : 24,708 = 9,946.98 : x
  2. Step 2: Convert to fraction form
    17,904.24/24,708 = 9,946.98/x
  3. Step 3: Cross multiply
    17,904.24x = 24,708 × 9,946.98
  4. Step 4: Simplify right side
    17,904.24x = 245,769,981.84
  5. Step 5: Solve for x
    x = 245,769,981.84/17,904.24
  6. Step 6: Final answer
    x = 13,726.92

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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.