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Finding the Fourth Proportional to 17,904.16, 24,707.36 and 9,946.24

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Solution

The fourth proportional to 17,904.16, 24,707.36 and 9,946.24 is: 13,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.16 : 24,707.36 = 9,946.24 : x
  2. Step 2: Convert to fraction form
    17,904.16/24,707.36 = 9,946.24/x
  3. Step 3: Cross multiply
    17,904.16x = 24,707.36 × 9,946.24
  4. Step 4: Simplify right side
    17,904.16x = 245,745,332.33
  5. Step 5: Solve for x
    x = 245,745,332.33/17,904.16
  6. Step 6: Final answer
    x = 13,725.60

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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.