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Finding the Fourth Proportional to 24,543.20, 36,814.80 and 6,075.20

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Solution

The fourth proportional to 24,543.20, 36,814.80 and 6,075.20 is: 9,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.20 : 36,814.80 = 6,075.20 : x
  2. Step 2: Convert to fraction form
    24,543.20/36,814.80 = 6,075.20/x
  3. Step 3: Cross multiply
    24,543.20x = 36,814.80 × 6,075.20
  4. Step 4: Simplify right side
    24,543.20x = 223,657,272.96
  5. Step 5: Solve for x
    x = 223,657,272.96/24,543.20
  6. Step 6: Final answer
    x = 9,112.80

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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.