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Finding the Fourth Proportional to 24,923.52, 34,392.24 and 14,312.16

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Solution

The fourth proportional to 24,923.52, 34,392.24 and 14,312.16 is: 19,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923.52 : 34,392.24 = 14,312.16 : x
  2. Step 2: Convert to fraction form
    24,923.52/34,392.24 = 14,312.16/x
  3. Step 3: Cross multiply
    24,923.52x = 34,392.24 × 14,312.16
  4. Step 4: Simplify right side
    24,923.52x = 492,227,241.64
  5. Step 5: Solve for x
    x = 492,227,241.64/24,923.52
  6. Step 6: Final answer
    x = 19,749.51

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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.