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Finding the Fourth Proportional to 23,908.64, 32,980.43 and 14,345.98

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Solution

The fourth proportional to 23,908.64, 32,980.43 and 14,345.98 is: 19,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,908.64 : 32,980.43 = 14,345.98 : x
  2. Step 2: Convert to fraction form
    23,908.64/32,980.43 = 14,345.98/x
  3. Step 3: Cross multiply
    23,908.64x = 32,980.43 × 14,345.98
  4. Step 4: Simplify right side
    23,908.64x = 473,136,542.59
  5. Step 5: Solve for x
    x = 473,136,542.59/23,908.64
  6. Step 6: Final answer
    x = 19,789.36

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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.