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Finding the Fourth Proportional to 16,574.06, 24,860.28 and 6,185

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Solution

The fourth proportional to 16,574.06, 24,860.28 and 6,185 is: 9,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.06 : 24,860.28 = 6,185 : x
  2. Step 2: Convert to fraction form
    16,574.06/24,860.28 = 6,185/x
  3. Step 3: Cross multiply
    16,574.06x = 24,860.28 × 6,185
  4. Step 4: Simplify right side
    16,574.06x = 153,760,831.80
  5. Step 5: Solve for x
    x = 153,760,831.80/16,574.06
  6. Step 6: Final answer
    x = 9,277.20

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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.