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Finding the Fourth Proportional to 23,564.94, 32,518.78 and 12,954.50

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Solution

The fourth proportional to 23,564.94, 32,518.78 and 12,954.50 is: 17,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.94 : 32,518.78 = 12,954.50 : x
  2. Step 2: Convert to fraction form
    23,564.94/32,518.78 = 12,954.50/x
  3. Step 3: Cross multiply
    23,564.94x = 32,518.78 × 12,954.50
  4. Step 4: Simplify right side
    23,564.94x = 421,264,535.51
  5. Step 5: Solve for x
    x = 421,264,535.51/23,564.94
  6. Step 6: Final answer
    x = 17,876.75

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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.