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Finding the Fourth Proportional to 12,001.94, 16,561.89 and 7,525.50

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Solution

The fourth proportional to 12,001.94, 16,561.89 and 7,525.50 is: 10,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.94 : 16,561.89 = 7,525.50 : x
  2. Step 2: Convert to fraction form
    12,001.94/16,561.89 = 7,525.50/x
  3. Step 3: Cross multiply
    12,001.94x = 16,561.89 × 7,525.50
  4. Step 4: Simplify right side
    12,001.94x = 124,636,503.20
  5. Step 5: Solve for x
    x = 124,636,503.20/12,001.94
  6. Step 6: Final answer
    x = 10,384.70

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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.