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Finding the Fourth Proportional to 12,075.50, 16,663.23 and 7,294.47

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Solution

The fourth proportional to 12,075.50, 16,663.23 and 7,294.47 is: 10,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.50 : 16,663.23 = 7,294.47 : x
  2. Step 2: Convert to fraction form
    12,075.50/16,663.23 = 7,294.47/x
  3. Step 3: Cross multiply
    12,075.50x = 16,663.23 × 7,294.47
  4. Step 4: Simplify right side
    12,075.50x = 121,549,431.34
  5. Step 5: Solve for x
    x = 121,549,431.34/12,075.50
  6. Step 6: Final answer
    x = 10,065.79

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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.