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Finding the Fourth Proportional to 16,564.50, 22,859.01 and 9,112.50

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Solution

The fourth proportional to 16,564.50, 22,859.01 and 9,112.50 is: 12,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.50 : 22,859.01 = 9,112.50 : x
  2. Step 2: Convert to fraction form
    16,564.50/22,859.01 = 9,112.50/x
  3. Step 3: Cross multiply
    16,564.50x = 22,859.01 × 9,112.50
  4. Step 4: Simplify right side
    16,564.50x = 208,302,728.63
  5. Step 5: Solve for x
    x = 208,302,728.63/16,564.50
  6. Step 6: Final answer
    x = 12,575.25

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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.