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Finding the Fourth Proportional to 17,075.88, 25,580.88 and 9,657.63

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Solution

The fourth proportional to 17,075.88, 25,580.88 and 9,657.63 is: 14,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,075.88 : 25,580.88 = 9,657.63 : x
  2. Step 2: Convert to fraction form
    17,075.88/25,580.88 = 9,657.63/x
  3. Step 3: Cross multiply
    17,075.88x = 25,580.88 × 9,657.63
  4. Step 4: Simplify right side
    17,075.88x = 247,050,674.11
  5. Step 5: Solve for x
    x = 247,050,674.11/17,075.88
  6. Step 6: Final answer
    x = 14,467.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.