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Finding the Fourth Proportional to 23,292.98, 34,939.74 and 9,964.16

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Solution

The fourth proportional to 23,292.98, 34,939.74 and 9,964.16 is: 14,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,292.98 : 34,939.74 = 9,964.16 : x
  2. Step 2: Convert to fraction form
    23,292.98/34,939.74 = 9,964.16/x
  3. Step 3: Cross multiply
    23,292.98x = 34,939.74 × 9,964.16
  4. Step 4: Simplify right side
    23,292.98x = 348,145,159.72
  5. Step 5: Solve for x
    x = 348,145,159.72/23,292.98
  6. Step 6: Final answer
    x = 14,946.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.