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Finding the Fourth Proportional to 23,657, 32,646.89 and 13,046.99

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Solution

The fourth proportional to 23,657, 32,646.89 and 13,046.99 is: 18,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657 : 32,646.89 = 13,046.99 : x
  2. Step 2: Convert to fraction form
    23,657/32,646.89 = 13,046.99/x
  3. Step 3: Cross multiply
    23,657x = 32,646.89 × 13,046.99
  4. Step 4: Simplify right side
    23,657x = 425,943,647.36
  5. Step 5: Solve for x
    x = 425,943,647.36/23,657
  6. Step 6: Final answer
    x = 18,004.97

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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.