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Finding the Fourth Proportional to 12,002.94, 16,563.27 and 7,526.50

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Solution

The fourth proportional to 12,002.94, 16,563.27 and 7,526.50 is: 10,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.94 : 16,563.27 = 7,526.50 : x
  2. Step 2: Convert to fraction form
    12,002.94/16,563.27 = 7,526.50/x
  3. Step 3: Cross multiply
    12,002.94x = 16,563.27 × 7,526.50
  4. Step 4: Simplify right side
    12,002.94x = 124,663,451.66
  5. Step 5: Solve for x
    x = 124,663,451.66/12,002.94
  6. Step 6: Final answer
    x = 10,386.08

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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.