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Finding the Fourth Proportional to 23,328.69, 32,193.29 and 12,718.31

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Solution

The fourth proportional to 23,328.69, 32,193.29 and 12,718.31 is: 17,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,328.69 : 32,193.29 = 12,718.31 : x
  2. Step 2: Convert to fraction form
    23,328.69/32,193.29 = 12,718.31/x
  3. Step 3: Cross multiply
    23,328.69x = 32,193.29 × 12,718.31
  4. Step 4: Simplify right side
    23,328.69x = 409,444,017.58
  5. Step 5: Solve for x
    x = 409,444,017.58/23,328.69
  6. Step 6: Final answer
    x = 17,551.09

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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.