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Finding the Fourth Proportional to 25,574.30, 38,361.44 and 9,780.93

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Solution

The fourth proportional to 25,574.30, 38,361.44 and 9,780.93 is: 14,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.30 : 38,361.44 = 9,780.93 : x
  2. Step 2: Convert to fraction form
    25,574.30/38,361.44 = 9,780.93/x
  3. Step 3: Cross multiply
    25,574.30x = 38,361.44 × 9,780.93
  4. Step 4: Simplify right side
    25,574.30x = 375,210,583.79
  5. Step 5: Solve for x
    x = 375,210,583.79/25,574.30
  6. Step 6: Final answer
    x = 14,671.40

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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.