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Finding the Fourth Proportional to 15,783.27, 21,788.79 and 9,816.86

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Solution

The fourth proportional to 15,783.27, 21,788.79 and 9,816.86 is: 13,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.27 : 21,788.79 = 9,816.86 : x
  2. Step 2: Convert to fraction form
    15,783.27/21,788.79 = 9,816.86/x
  3. Step 3: Cross multiply
    15,783.27x = 21,788.79 × 9,816.86
  4. Step 4: Simplify right side
    15,783.27x = 213,897,392.06
  5. Step 5: Solve for x
    x = 213,897,392.06/15,783.27
  6. Step 6: Final answer
    x = 13,552.16

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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.