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Finding the Fourth Proportional to 15,810.32, 21,828.84 and 9,844.40

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Solution

The fourth proportional to 15,810.32, 21,828.84 and 9,844.40 is: 13,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,810.32 : 21,828.84 = 9,844.40 : x
  2. Step 2: Convert to fraction form
    15,810.32/21,828.84 = 9,844.40/x
  3. Step 3: Cross multiply
    15,810.32x = 21,828.84 × 9,844.40
  4. Step 4: Simplify right side
    15,810.32x = 214,891,832.50
  5. Step 5: Solve for x
    x = 214,891,832.50/15,810.32
  6. Step 6: Final answer
    x = 13,591.87

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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.