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Finding the Fourth Proportional to 15,858.18, 21,883.19 and 8,784

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Solution

The fourth proportional to 15,858.18, 21,883.19 and 8,784 is: 12,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.18 : 21,883.19 = 8,784 : x
  2. Step 2: Convert to fraction form
    15,858.18/21,883.19 = 8,784/x
  3. Step 3: Cross multiply
    15,858.18x = 21,883.19 × 8,784
  4. Step 4: Simplify right side
    15,858.18x = 192,221,897.04
  5. Step 5: Solve for x
    x = 192,221,897.04/15,858.18
  6. Step 6: Final answer
    x = 12,121.31

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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.