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Finding the Fourth Proportional to 18,032.74, 24,884.72 and 10,075.02

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Solution

The fourth proportional to 18,032.74, 24,884.72 and 10,075.02 is: 13,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,032.74 : 24,884.72 = 10,075.02 : x
  2. Step 2: Convert to fraction form
    18,032.74/24,884.72 = 10,075.02/x
  3. Step 3: Cross multiply
    18,032.74x = 24,884.72 × 10,075.02
  4. Step 4: Simplify right side
    18,032.74x = 250,714,001.32
  5. Step 5: Solve for x
    x = 250,714,001.32/18,032.74
  6. Step 6: Final answer
    x = 13,903.27

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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.