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Finding the Fourth Proportional to 15,857.16, 21,880.98 and 9,145

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Solution

The fourth proportional to 15,857.16, 21,880.98 and 9,145 is: 12,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.16 : 21,880.98 = 9,145 : x
  2. Step 2: Convert to fraction form
    15,857.16/21,880.98 = 9,145/x
  3. Step 3: Cross multiply
    15,857.16x = 21,880.98 × 9,145
  4. Step 4: Simplify right side
    15,857.16x = 200,101,562.10
  5. Step 5: Solve for x
    x = 200,101,562.10/15,857.16
  6. Step 6: Final answer
    x = 12,619.00

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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.