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Finding the Fourth Proportional to 12,075.61, 18,116.39 and 9,756.65

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Solution

The fourth proportional to 12,075.61, 18,116.39 and 9,756.65 is: 14,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.61 : 18,116.39 = 9,756.65 : x
  2. Step 2: Convert to fraction form
    12,075.61/18,116.39 = 9,756.65/x
  3. Step 3: Cross multiply
    12,075.61x = 18,116.39 × 9,756.65
  4. Step 4: Simplify right side
    12,075.61x = 176,755,276.49
  5. Step 5: Solve for x
    x = 176,755,276.49/12,075.61
  6. Step 6: Final answer
    x = 14,637.38

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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.