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Finding the Fourth Proportional to 15,860.16, 23,785.44 and 6,624

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Solution

The fourth proportional to 15,860.16, 23,785.44 and 6,624 is: 9,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,860.16 : 23,785.44 = 6,624 : x
  2. Step 2: Convert to fraction form
    15,860.16/23,785.44 = 6,624/x
  3. Step 3: Cross multiply
    15,860.16x = 23,785.44 × 6,624
  4. Step 4: Simplify right side
    15,860.16x = 157,554,754.56
  5. Step 5: Solve for x
    x = 157,554,754.56/15,860.16
  6. Step 6: Final answer
    x = 9,934.00

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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.