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Finding the Fourth Proportional to 25,798.02, 38,714.29 and 9,382.02

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Solution

The fourth proportional to 25,798.02, 38,714.29 and 9,382.02 is: 14,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,798.02 : 38,714.29 = 9,382.02 : x
  2. Step 2: Convert to fraction form
    25,798.02/38,714.29 = 9,382.02/x
  3. Step 3: Cross multiply
    25,798.02x = 38,714.29 × 9,382.02
  4. Step 4: Simplify right side
    25,798.02x = 363,218,243.07
  5. Step 5: Solve for x
    x = 363,218,243.07/25,798.02
  6. Step 6: Final answer
    x = 14,079.31

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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.