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Finding the Fourth Proportional to 15,976.40, 22,047.52 and 9,266.00

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Solution

The fourth proportional to 15,976.40, 22,047.52 and 9,266.00 is: 12,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976.40 : 22,047.52 = 9,266.00 : x
  2. Step 2: Convert to fraction form
    15,976.40/22,047.52 = 9,266.00/x
  3. Step 3: Cross multiply
    15,976.40x = 22,047.52 × 9,266.00
  4. Step 4: Simplify right side
    15,976.40x = 204,292,364.26
  5. Step 5: Solve for x
    x = 204,292,364.26/15,976.40
  6. Step 6: Final answer
    x = 12,787.14

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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.