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Finding the Fourth Proportional to 24,661.66, 36,988.83 and 9,075.64

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Solution

The fourth proportional to 24,661.66, 36,988.83 and 9,075.64 is: 13,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661.66 : 36,988.83 = 9,075.64 : x
  2. Step 2: Convert to fraction form
    24,661.66/36,988.83 = 9,075.64/x
  3. Step 3: Cross multiply
    24,661.66x = 36,988.83 × 9,075.64
  4. Step 4: Simplify right side
    24,661.66x = 335,697,305.10
  5. Step 5: Solve for x
    x = 335,697,305.10/24,661.66
  6. Step 6: Final answer
    x = 13,612.11

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Why These Related Problems?

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