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Finding the Fourth Proportional to 24,075.70, 33,225.36 and 13,465.30

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Solution

The fourth proportional to 24,075.70, 33,225.36 and 13,465.30 is: 18,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075.70 : 33,225.36 = 13,465.30 : x
  2. Step 2: Convert to fraction form
    24,075.70/33,225.36 = 13,465.30/x
  3. Step 3: Cross multiply
    24,075.70x = 33,225.36 × 13,465.30
  4. Step 4: Simplify right side
    24,075.70x = 447,389,440.01
  5. Step 5: Solve for x
    x = 447,389,440.01/24,075.70
  6. Step 6: Final answer
    x = 18,582.61

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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.