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Finding the Fourth Proportional to 22,858.50, 31,549.05 and 12,922.50

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Solution

The fourth proportional to 22,858.50, 31,549.05 and 12,922.50 is: 17,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.50 : 31,549.05 = 12,922.50 : x
  2. Step 2: Convert to fraction form
    22,858.50/31,549.05 = 12,922.50/x
  3. Step 3: Cross multiply
    22,858.50x = 31,549.05 × 12,922.50
  4. Step 4: Simplify right side
    22,858.50x = 407,692,598.63
  5. Step 5: Solve for x
    x = 407,692,598.63/22,858.50
  6. Step 6: Final answer
    x = 17,835.49

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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.